pith. sign in

arxiv: 2512.17089 · v3 · pith:J3DHYYDPnew · submitted 2025-12-18 · ✦ hep-th · cond-mat.stat-mech· gr-qc· math-ph· math.MP· quant-ph

Gauging Open EFTs from the top down

Greg Kaplanek , Maria Mylova , Andrew J. Tolley This is my paper

Pith reviewed 2026-05-25 06:56 UTC · model grok-4.3

classification ✦ hep-th cond-mat.stat-mechgr-qcmath-phmath.MPquant-ph
keywords open effective field theoriesBRST formalismin-in contourinfluence functionalgauge invarianceU(1) gauge theoryStueckelberg fieldAbelian Higgs model
0
0 comments X

The pith

A single diagonal BRST symmetry suffices to keep the influence functional gauge invariant under independent retarded and advanced transformations after integrating out matter in U(1) theories.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper derives open effective field theories for gauge fields by integrating charged matter out of the in-in path integral. Two copies of the action and of BRST symmetry are present, but the boundary conditions reduce BRST to one diagonal copy. The authors show this remaining diagonal BRST still guarantees that the resulting influence functional is invariant under two separate gauge symmetries, one for each time contour. The result holds for any state and for both unbroken and spontaneously broken phases, and is illustrated with several explicit models including thermal scalar QED and the Abelian Higgs model with a charged bath.

Core claim

Starting from the in-in contour with two copies of the action, integration of charged matter produces a Feynman-Vernon influence functional for the photon (or photon plus Stueckelberg field in the broken phase). Gauge redundancies in the path integral are removed via the BRST formalism. The in-in boundary conditions break the two BRST copies down to a single diagonal BRST, yet this single copy is sufficient to enforce gauge invariance of the influence functional under two independent gauge symmetries, retarded and advanced, irrespective of the state or symmetry-breaking phase. The construction remains consistent with the decoupling limit in which the advanced symmetry is broken by the state.

What carries the argument

The single diagonal BRST symmetry that survives the in-in boundary conditions and enforces gauge invariance on the influence functional for the photon or Stueckelberg fields.

If this is right

  • The influence functional remains invariant under separate retarded and advanced gauge transformations for any choice of state.
  • Gauge invariance is preserved even when the global advanced symmetry is broken by spontaneous symmetry breaking or by the state.
  • The same diagonal BRST procedure applies uniformly to unbroken U(1) theories, thermal states, and symmetry-broken phases with Stueckelberg fields.
  • Explicit top-down expressions for the influence functional can be obtained in models such as the gauge Caldeira-Leggett analogue, spinor QED, and the Abelian Higgs-Kibble model coupled to a charged bath.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The method may allow gauge-invariant computations of decoherence rates for photons without additional manual gauge fixing.
  • Similar diagonal-symmetry arguments could be tested in models with multiple U(1) factors or with dynamical matter that is only partially integrated out.
  • The consistency in the decoupling limit suggests the construction can be matched onto low-energy open-system descriptions of Goldstone modes.

Load-bearing premise

The single diagonal BRST that remains after in-in boundary conditions still enforces full gauge invariance under two independent retarded and advanced symmetries.

What would settle it

An explicit evaluation of the influence functional in scalar QED at finite temperature or in the Abelian Higgs model that yields a result not invariant under an advanced gauge transformation would falsify the claim.

read the original abstract

We present explicit top-down calculations of Open EFTs for gauged degrees of freedom with a focus on the effects of gauge fixing. Starting from the in-in contour with two copies of the action, we integrate out the charged matter in various $U(1)$ gauge theories to obtain the Feynman-Vernon influence functional for the photon, or, in the case of symmetry breaking, for the photon and St\"uckelberg fields. The influence functional is defined through a quantum path integral, which -- as is always the case when quantizing gauge degrees of freedom -- contains redundancies that must be eliminated via a gauge-fixing procedure. We implement the BRST formalism in this setting. The in-in boundary conditions break the two copies of BRST symmetry down to a single diagonal copy. Nevertheless the single diagonal BRST is sufficient to ensure that the influence functional is itself gauge invariant under two copies of gauge symmetries, retarded and advanced, regardless of the choice of state or symmetry-breaking phase. We clarify how this is consistent with the decoupling limit where the global advanced symmetry is generically broken by the state. We illustrate our results with several examples: a gauge field theory analogue of the Caldeira-Leggett model, spinor QED with fermions integrated out, scalar QED in a thermal state, the Abelian Higgs-Kibble model in the spontaneously broken state with the Higgs integrated out, and Abelian Higgs-Kibble model coupled to a charged bath in a symmetry-broken phase. The latter serves as an example of an open system for St\"uckelberg/Goldstone fields.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The manuscript develops a top-down construction of open EFTs for U(1) gauge fields by integrating out charged matter on the in-in contour. It implements the BRST procedure on the doubled action, notes that in-in boundary conditions reduce the two BRST copies to a single diagonal symmetry, and claims this diagonal BRST is nevertheless sufficient to guarantee that the resulting influence functional remains invariant under independent retarded and advanced gauge transformations, irrespective of the choice of state or the presence of spontaneous symmetry breaking. The consistency of this statement with the decoupling limit (in which the state breaks the global advanced symmetry) is asserted to be clarified, and the framework is illustrated with five explicit examples: a gauge analogue of the Caldeira-Leggett model, spinor QED, thermal scalar QED, the Abelian Higgs-Kibble model with the Higgs integrated out, and the same model coupled to a charged bath.

Significance. If the central technical claim is correct, the work supplies a systematic, UV-derived method for gauge-fixing influence functionals that respects both retarded and advanced gauge symmetries. This is potentially useful for open-system calculations in cosmology and condensed-matter settings where gauge fields and symmetry breaking coexist. The explicit path-integral derivations and the set of concrete models constitute a concrete strength.

major comments (1)
  1. [Discussion of the decoupling limit and BRST Ward identities (near the end of the BRST section and in the Higgs-Kibble §)] The central claim that a single diagonal BRST symmetry suffices to enforce independent retarded and advanced gauge invariance of the influence functional, even when the state explicitly breaks the global advanced symmetry in the decoupling limit, is load-bearing. The abstract states that consistency is clarified, but the mechanism (how the BRST Ward identity continues to protect an independent advanced gauge transformation on the influence functional without a compensating transformation on the state or contour) must be shown explicitly; this is especially critical for the Abelian Higgs-Kibble example with the Higgs integrated out.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for identifying the need for a more explicit derivation of the mechanism underlying our central claim. We address the major comment below and will revise the manuscript to strengthen this aspect.

read point-by-point responses

  1. Referee: The central claim that a single diagonal BRST symmetry suffices to enforce independent retarded and advanced gauge invariance of the influence functional, even when the state explicitly breaks the global advanced symmetry in the decoupling limit, is load-bearing. The abstract states that consistency is clarified, but the mechanism (how the BRST Ward identity continues to protect an independent advanced gauge transformation on the influence functional without a compensating transformation on the state or contour) must be shown explicitly; this is especially critical for the Abelian Higgs-Kibble example with the Higgs integrated out.

    Authors: We agree that the mechanism requires a more explicit, step-by-step derivation to make the argument fully transparent, especially in the decoupling limit and for the Abelian Higgs-Kibble model. In the revised manuscript we will insert a new subsection immediately after the general BRST construction. There we will (i) write the diagonal BRST transformations on the doubled contour, (ii) apply the associated Ward identity directly to the path integral defining the influence functional after matter integration, and (iii) show that the resulting conditions enforce invariance under independent retarded and advanced gauge transformations on the photon (and Stueckelberg) fields. The state enters solely through the choice of initial conditions on the contour; no compensating transformation on the state is required because the BRST charge acts on the dynamical fields and the measure. We will then specialize this derivation to the Higgs-Kibble example, explicitly computing the BRST variations of the integrated-out influence functional to confirm that the advanced gauge symmetry remains protected even when the vacuum expectation value breaks the global advanced symmetry. revision: yes

Circularity Check

0 steps flagged

Standard BRST on in-in contour; no reduction to fit or self-citation by construction

full rationale

The derivation begins from the established in-in contour with two copies of the action, integrates out matter, and applies the standard BRST procedure. The central statement that the resulting single diagonal BRST enforces invariance of the influence functional under independent retarded and advanced gauge symmetries is presented as a consequence of the formalism and boundary conditions, not as a definitional identity or a parameter fitted to the target quantity. No load-bearing self-citation, uniqueness theorem imported from the same authors, or ansatz smuggled via prior work is indicated. The clarification regarding the decoupling limit is internal to the BRST analysis and does not collapse the result to its inputs. This is the normal case of an honest non-finding.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the applicability of the BRST procedure to the in-in contour; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption The BRST formalism can be implemented on the in-in contour such that the resulting single diagonal BRST symmetry is sufficient to enforce gauge invariance under independent retarded and advanced transformations.
    This premise is invoked to conclude that the influence functional remains gauge invariant regardless of state or symmetry-breaking phase.

pith-pipeline@v0.9.0 · 5837 in / 1580 out tokens · 55236 ms · 2026-05-25T06:56:15.392451+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Counting Degrees of Freedom in Open Effective Theories

    hep-th 2026-05 unverdicted novelty 7.0

    A new algorithm counts degrees of freedom in open EFTs from equations of motion using dual advanced equations for non-Lagrangian systems with constraints and gauges.

  2. Bottom-up open EFT for non-Abelian gauge theory with dynamical color environment

    hep-th 2026-05 unverdicted novelty 7.0

    Develops a local open EFT for non-Abelian gauge theories using dynamical color-frame variables and color-current sectors in Schwinger-Keldysh formalism, yielding nonlocal dissipative kernels and naturally incorporatin...

  3. Stochastic inflation from a non-equilibrium renormalization group

    hep-th 2026-05 unverdicted novelty 7.0

    A generalized Fokker-Planck equation for stochastic inflation is derived from a Polchinski-type renormalization group flow on the density matrix, incorporating dissipative and diffusive corrections beyond the leading order.

  4. Schwinger-Keldysh Path Integral for Gauge theories

    hep-th 2026-04 unverdicted novelty 7.0

    Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldy...

  5. Phenomenology of an Open Effective Field Theory of Dark Energy

    astro-ph.CO 2026-03 conditional novelty 7.0

    A minimal open EFT for late-time acceleration fits BAO observations without NEC violations and predicts dissipative suppression of GW luminosity distance, modified Bardeen potentials with gravitational slip, and enhan...

  6. Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching

    hep-th 2026-05 unverdicted novelty 6.0

    Develops open EFT for stochastic inflation with a distinct stochastic RG channel, derives nonlocal master equations including Fokker-Planck and Klein-Kramers forms, and demonstrates stochastic renormalization with an ...

  7. Schwinger-Keldysh Path Integral for Gauge theories

    hep-th 2026-04 unverdicted novelty 6.0

    A manifestly BRST-invariant Schwinger-Keldysh path integral is derived for non-Abelian gauge theories with generic initial states, enabling perturbative Ward-Takahashi-Slavnov-Taylor identities and Open EFT expansions...

  8. Effective Field Theory for Superconducting Phase Transitions

    hep-th 2026-04 unverdicted novelty 6.0

    An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex re...

Reference graph

Works this paper leans on

177 extracted references · 177 canonical work pages · cited by 7 Pith papers · 56 internal anchors

  1. [1]

    Dissipative effects in the Effective Field Theory of Inflation

    D. Lopez Nacir, R. A. Porto, L. Senatore and M. Zaldarriaga,Dissipative effects in the Effective Field Theory of Inflation,JHEP01(2012) 075, [1109.4192]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  2. [2]

    Effective field theory of time-translational symmetry breaking in nonequilibrium open system

    M. Hongo, S. Kim, T. Noumi and A. Ota,Effective field theory of time-translational symmetry breaking in nonequilibrium open system,JHEP02(2019) 131, [1805.06240]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  3. [3]

    Hongo, S

    M. Hongo, S. Kim, T. Noumi and A. Ota,Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems,Phys. Rev. D103(2021) 056020, [1907.08609]

    work page arXiv 2021

  4. [4]

    S. A. Salcedo, T. Colas and E. Pajer,The open effective field theory of inflation,JHEP10(2024) 248, [2404.15416]

    work page arXiv 2024

  5. [5]

    S. A. Salcedo, T. Colas and E. Pajer,An Open Effective Field Theory for light in a medium,JHEP03 (2025) 138, [2412.12299]

    work page arXiv 2025

  6. [6]

    P. H. C. Lau, K. Nishii and T. Noumi,Gravitational EFT for dissipative open systems,JHEP02 (2025) 155, [2412.21136]

    work page arXiv 2025

  7. [7]

    S. A. Salcedo, T. Colas, L. Dufner and E. Pajer,An Open System Approach to Gravity,2507.03103

    work page arXiv

  8. [8]

    Christodoulidis,Emergent structures in open EFTs,2509.13284

    P. Christodoulidis,Emergent structures in open EFTs,2509.13284

    work page arXiv

  9. [9]

    Christodoulidis and J.-O

    P. Christodoulidis and J.-O. Gong,Gravitational open effective field theory of inflation,2512.21234

    work page arXiv

  10. [10]

    J. S. Schwinger,Brownian motion of a quantum oscillator,J. Math. Phys.2(1961) 407–432

    work page 1961

  11. [11]

    R. P. Feynman and F. L. Vernon, Jr.,The Theory of a general quantum system interacting with a linear dissipative system,Annals Phys.24(1963) 118–173

    work page 1963

  12. [12]

    A. O. Caldeira and A. J. Leggett,Path integral approach to quantum brownian motion,Physica A: Statistical mechanics and its Applications121(1983) 587–616

    work page 1983

  13. [13]

    Ford and R

    G. Ford and R. O’Connell,Relativistic form of radiation reaction,Physics Letters A174(1993) 182–184

    work page 1993

  14. [14]

    P. R. Johnson and B. L. Hu,Stochastic theory of relativistic particles moving in a quantum field. 2. Scalar Abraham-Lorentz-Dirac-Langevin equation, radiation reaction and vacuum fluctuations,Phys. Rev. D65(2002) 065015, [quant-ph/0101001]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  15. [15]

    O’Connell,Radiation reaction: general approach and applications, especially to electrodynamics, Contemporary Physics53(2012) 301–313

    R. O’Connell,Radiation reaction: general approach and applications, especially to electrodynamics, Contemporary Physics53(2012) 301–313

    work page 2012

  16. [16]

    P. M. Bakshi and K. T. Mahanthappa,Expectation value formalism in quantum field theory. 1.,J. Math. Phys.4(1963) 1–11

    work page 1963

  17. [17]

    P. M. Bakshi and K. T. Mahanthappa,Expectation value formalism in quantum field theory. 2.,J. Math. Phys.4(1963) 12–16

    work page 1963

  18. [18]

    K. T. Mahanthappa,Multiple production of photons in quantum electrodynamics,Phys. Rev.126 (1962) 329–340

    work page 1962

  19. [19]

    L. V. Keldysh,Diagram technique for nonequilibrium processes,Zh. Eksp. Teor. Fiz.47(1964) 1515–1527

    work page 1964

  20. [20]

    Kamenev,Field theory of non-equilibrium systems

    A. Kamenev,Field theory of non-equilibrium systems. Cambridge University Press, 2023

    work page 2023

  21. [21]

    Korenman,Nonequilibrium quantum statistics; application to the laser,Annals of Physics39(1966) 72–126

    V. Korenman,Nonequilibrium quantum statistics; application to the laser,Annals of Physics39(1966) 72–126

    work page 1966

  22. [22]

    Maximum Entropy Analysis of the Spectral Functions in Lattice QCD

    M. Asakawa, T. Hatsuda and Y. Nakahara,Maximum entropy analysis of the spectral functions in lattice QCD,Prog. Part. Nucl. Phys.46(2001) 459–508, [hep-lat/0011040]. – 93 –

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  23. [23]

    P. B. Arnold, G. D. Moore and L. G. Yaffe,Effective kinetic theory for high temperature gauge theories,JHEP01(2003) 030, [hep-ph/0209353]

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  24. [24]

    Caron-Huot and G

    S. Caron-Huot and G. D. Moore,Heavy quark diffusion in perturbative qcd at next-to-leading order, Physical review letters100(2008) 052301

    work page 2008

  25. [25]

    H. B. Meyer,Transport properties of the quark-gluon plasma from lattice qcd,Nuclear Physics A830 (2009) 641c–648c

    work page 2009

  26. [26]

    H.-T. Ding, A. Francis, O. Kaczmarek, F. Karsch, H. Satz and W. S¨ oldner,Charmonium properties in hot quenched lattice qcd,Physical Review D—Particles, Fields, Gravitation, and Cosmology86(2012) 014509

    work page 2012

  27. [27]

    Berges, K

    J. Berges, K. Boguslavski, S. Schlichting and R. Venugopalan,Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies,Physical Review D89(2014) 074011

    work page 2014

  28. [28]

    Brambilla, V

    N. Brambilla, V. Leino, P. Petreczky, A. Vairo and T. Collaboration),Lattice qcd constraints on the heavy quark diffusion coefficient,Physical Review D102(2020) 074503

    work page 2020

  29. [29]

    Brambilla, M

    N. Brambilla, M. A. Escobedo, J. Soto and A. Vairo,Quarkonium suppression in heavy-ion collisions: an open quantum system approach,Physical Review D96(2017) 034021

    work page 2017

  30. [30]

    Yao,Open quantum systems for quarkonia,International Journal of Modern Physics A36(2021) 2130010

    X. Yao,Open quantum systems for quarkonia,International Journal of Modern Physics A36(2021) 2130010

    work page 2021

  31. [31]

    Akamatsu,Quarkonium in quark–gluon plasma: Open quantum system approaches re-examined, Progress in Particle and Nuclear Physics123(2022) 103932

    Y. Akamatsu,Quarkonium in quark–gluon plasma: Open quantum system approaches re-examined, Progress in Particle and Nuclear Physics123(2022) 103932

    work page 2022

  32. [32]

    Scheihing-Hitschfeld and X

    B. Scheihing-Hitschfeld and X. Yao,Real time quarkonium transport coefficients in open quantum systems from euclidean qcd,Physical Review D108(2023) 054024

    work page 2023

  33. [33]

    On thermal fluctuations and the generating functional in relativistic hydrodynamics

    M. Harder, P. Kovtun and A. Ritz,On thermal fluctuations and the generating functional in relativistic hydrodynamics,JHEP07(2015) 025, [1502.03076]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  34. [34]

    Effective field theory of dissipative fluids

    M. Crossley, P. Glorioso and H. Liu,Effective field theory of dissipative fluids,JHEP09(2017) 095, [1511.03646]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  35. [35]

    Dissipative hydrodynamics in superspace

    K. Jensen, N. Pinzani-Fokeeva and A. Yarom,Dissipative hydrodynamics in superspace,JHEP09 (2018) 127, [1701.07436]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  36. [36]

    Z.-L. Zhou, M. Hippert, N. Mullins and J. Noronha,Emergent Viscous Hydrodynamics From a Single Quantum Particle,2506.06618

    work page arXiv

  37. [37]

    Sakagami,Evolution From Pure States Into Mixed States in De Sitter Space,Prog

    M.-a. Sakagami,Evolution From Pure States Into Mixed States in De Sitter Space,Prog. Theor. Phys. 79(1988) 442

    work page 1988

  38. [38]

    R. H. Brandenberger, R. Laflamme and M. Mijic,Classical Perturbations From Decoherence of Quantum Fluctuations in the Inflationary Universe,Mod. Phys. Lett. A5(1990) 2311–2318

    work page 1990

  39. [39]

    Matacz,The Emergence of classical behavior in the quantum fluctuations of a scalar field in an expanding universe,Class

    A. Matacz,The Emergence of classical behavior in the quantum fluctuations of a scalar field in an expanding universe,Class. Quant. Grav.10(1993) 509–516

    work page 1993

  40. [40]

    N. C. Tsamis and R. P. Woodard,Strong infrared effects in quantum gravity,Annals Phys.238(1995) 1–82

    work page 1995

  41. [41]

    Coarse graining and decoherence in quantum field theory

    F. Lombardo and F. D. Mazzitelli,Coarse graining and decoherence in quantum field theory,Phys. Rev. D53(1996) 2001–2011, [hep-th/9508052]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  42. [42]

    Quantum Fluctuations, Decoherence of the Mean Field, and Structure Formation in the Early Universe

    E. Calzetta and B. L. Hu,Quantum fluctuations, decoherence of the mean field, and structure formation in the early universe,Phys. Rev. D52(1995) 6770–6788, [gr-qc/9505046]. – 94 –

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  43. [43]

    Semiclassicality and Decoherence of Cosmological Perturbations

    D. Polarski and A. A. Starobinsky,Semiclassicality and decoherence of cosmological perturbations, Class. Quant. Grav.13(1996) 377–392, [gr-qc/9504030]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  44. [44]

    N. C. Tsamis and R. P. Woodard,The Quantum gravitational back reaction on inflation,Annals Phys. 253(1997) 1–54, [hep-ph/9602316]

    work page internal anchor Pith review Pith/arXiv arXiv 1997

  45. [45]

    Quantum-to-classical transition for fluctuations in the early Universe

    C. Kiefer, D. Polarski and A. A. Starobinsky,Quantum to classical transition for fluctuations in the early universe,Int. J. Mod. Phys. D7(1998) 455–462, [gr-qc/9802003]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  46. [46]

    N. C. Tsamis and R. P. Woodard,Stochastic quantum gravitational inflation,Nucl. Phys. B724 (2005) 295–328, [gr-qc/0505115]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  47. [47]

    F. C. Lombardo and D. Lopez Nacir,Decoherence during inflation: The Generation of classical inhomogeneities,Phys. Rev. D72(2005) 063506, [gr-qc/0506051]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  48. [48]

    C. P. Burgess, R. Holman and D. Hoover,Decoherence of inflationary primordial fluctuations,Phys. Rev. D77(2008) 063534, [astro-ph/0601646]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  49. [49]

    Decoherence from Isocurvature Perturbations in Inflation

    T. Prokopec and G. I. Rigopoulos,Decoherence from Isocurvature perturbations in Inflation,JCAP11 (2007) 029, [astro-ph/0612067]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  50. [50]

    J. W. Sharman and G. D. Moore,Decoherence due to the Horizon after Inflation,JCAP11(2007) 020, [0708.3353]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  51. [51]

    Why do cosmological perturbations look classical to us?

    C. Kiefer and D. Polarski,Why do cosmological perturbations look classical to us?,Adv. Sci. Lett.2 (2009) 164–173, [0810.0087]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  52. [52]

    Cosmological Constant from Decoherence

    C. Kiefer, F. Queisser and A. A. Starobinsky,Cosmological Constant from Decoherence,Class. Quant. Grav.28(2011) 125022, [1010.5331]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  53. [53]

    T. C. Bachlechner,Decoherence delays false vacuum decay,Class. Quant. Grav.30(2013) 095012, [1203.1619]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  54. [54]

    Decoherence in the cosmic background radiation

    M. Franco and E. Calzetta,Decoherence in the cosmic background radiation,Class. Quant. Grav.28 (2011) 145024, [1103.0188]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  55. [55]

    C. P. Burgess, R. Holman, G. Tasinato and M. Williams,EFT Beyond the Horizon: Stochastic Inflation and How Primordial Quantum Fluctuations Go Classical,JHEP03(2015) 090, [1408.5002]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  56. [56]

    C. P. Burgess, R. Holman and G. Tasinato,Open EFTs, IR effects & late-time resummations: systematic corrections in stochastic inflation,JHEP01(2016) 153, [1512.00169]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  57. [57]

    Quantum Decoherence During Inflation from Gravitational Nonlinearities

    E. Nelson,Quantum Decoherence During Inflation from Gravitational Nonlinearities,JCAP03(2016) 022, [1601.03734]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  58. [58]

    T. J. Hollowood and J. I. McDonald,Decoherence, discord and the quantum master equation for cosmological perturbations,Phys. Rev. D95(2017) 103521, [1701.02235]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  59. [59]

    K. K. Boddy, S. M. Carroll and J. Pollack,How decoherence affects the probability of slow-roll eternal inflation,Physical Review D96(2017) 023539

    work page 2017

  60. [60]

    Martin and V

    J. Martin and V. Vennin,Observational constraints on quantum decoherence during inflation,JCAP 05(2018) 063, [1801.09949]

    work page arXiv 2018

  61. [61]

    Shandera, N

    S. Shandera, N. Agarwal and A. Kamal,Open quantum cosmological system,Physical Review D98 (2018) 083535

    work page 2018

  62. [62]

    N. Bao, A. Chatwin-Davies, J. Pollack and G. N. Remmen,Cosmological Decoherence from Thermal Gravitons,JHEP08(2020) 065, [1911.10207]

    work page arXiv 2020

  63. [63]

    Brahma, O

    S. Brahma, O. Alaryani and R. Brandenberger,Entanglement entropy of cosmological perturbations, Phys. Rev. D102(2020) 043529, [2005.09688]. – 95 –

    work page arXiv 2020

  64. [64]

    Martin, A

    J. Martin, A. Micheli and V. Vennin,Discord and decoherence,JCAP04(2022) 051, [2112.05037]

    work page arXiv 2022

  65. [65]

    Banerjee, S

    S. Banerjee, S. Choudhury, S. Chowdhury, J. Knaute, S. Panda and K. Shirish,Thermalization in quenched open quantum cosmology,Nucl. Phys. B996(2023) 116368, [2104.10692]

    work page arXiv 2023

  66. [66]

    Brahma, A

    S. Brahma, A. Berera and J. Calder´ on-Figueroa,Quantum corrections to the primordial tensor spectrum: open EFTs & Markovian decoupling of UV modes,JHEP08(2022) 225, [2206.05797]

    work page arXiv 2022

  67. [67]

    Espinosa-Portal´ es and V

    L. Espinosa-Portal´ es and V. Vennin,Real-space Bell inequalities in de Sitter,JCAP07(2022) 037, [2203.03505]

    work page arXiv 2022

  68. [68]

    Colas, J

    T. Colas, J. Grain and V. Vennin,Benchmarking the cosmological master equations,Eur. Phys. J. C 82(2022) 1085, [2209.01929]

    work page arXiv 2022

  69. [69]

    C. P. Burgess, R. Holman, G. Kaplanek, J. Martin and V. Vennin,Minimal decoherence from inflation, JCAP07(2023) 022, [2211.11046]

    work page arXiv 2023

  70. [70]

    Daddi Hammou and N

    A. Daddi Hammou and N. Bartolo,Cosmic decoherence: primordial power spectra and non-Gaussianities,JCAP04(2023) 055, [2211.07598]

    work page arXiv 2023

  71. [71]

    Colas, J

    T. Colas, J. Grain and V. Vennin,Quantum recoherence in the early universe,EPL142(2023) 69002, [2212.09486]

    work page arXiv 2023

  72. [72]

    Martin, A

    J. Martin, A. Micheli and V. Vennin,Comparing quantumness criteria,EPL142(2023) 18001, [2211.10114]

    work page arXiv 2023

  73. [73]

    C. M. Sou, D. H. Tran and Y. Wang,Decoherence of cosmological perturbations from boundary terms and the non-classicality of gravity,JHEP04(2023) 092, [2207.04435]

    work page arXiv 2023

  74. [74]

    Boutivas, D

    K. Boutivas, D. Katsinis, G. Pastras and N. Tetradis,Entanglement in cosmology,JCAP04(2024) 017, [2310.17208]

    work page arXiv 2024

  75. [75]

    Tinwala, A

    A. Tinwala, A. Narang, S. Mohanty and S. Panda,Open EFT treatment of Inflation with Thermal Initial Conditions,2402.18494

    work page arXiv

  76. [76]

    Colas, C

    T. Colas, C. de Rham and G. Kaplanek,Decoherence out of fire: purity loss in expanding and contracting universes,JCAP05(2024) 025, [2401.02832]

    work page arXiv 2024

  77. [77]

    Colas, J

    T. Colas, J. Grain, G. Kaplanek and V. Vennin,In-in formalism for the entropy of quantum fields in curved spacetimes,JCAP08(2024) 047, [2406.17856]

    work page arXiv 2024

  78. [78]

    de Kruijf and N

    J. de Kruijf and N. Bartolo,The effect of quantum decoherence on inflationary gravitational waves, 2408.02563

    work page arXiv

  79. [79]

    C. P. Burgess, T. Colas, R. Holman, G. Kaplanek and V. Vennin,Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence,2403.12240

    work page arXiv

  80. [80]

    Brahma, J

    S. Brahma, J. Calder´ on-Figueroa and X. Luo,Time-convolutionless cosmological master equations: Late-time resummations and decoherence for non-local kernels,2407.12091

    work page arXiv

Showing first 80 references.