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arxiv: 2511.13660 · v3 · pith:VS5JCMZQnew · submitted 2025-11-17 · 🌀 gr-qc · hep-th

Graviton propagator in de Sitter space in a simple one-parameter gauge

Dra\v{z}en Glavan This is my paper

Pith reviewed 2026-05-21 18:10 UTC · model grok-4.3

classification 🌀 gr-qc hep-th
keywords graviton propagatorde Sitter spacegauge fixingnon-covariant gaugesquantum gravityone-loop computationsgauge dependence
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0 comments X

The pith

The graviton propagator in de Sitter space is constructed in a one-parameter family of non-covariant gauges that generalizes the simple gauge used for most loop computations.

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

This paper builds the graviton propagator for de Sitter space using a one-parameter family of gauges that break full covariance. The approach extends the basic gauge commonly applied in graviton loop calculations. A sympathetic reader would care because the new form stays relatively simple while allowing direct tests of whether one-loop results depend on gauge choice. This matters for building reliable observables in quantum gravity on de Sitter backgrounds. The construction provides a practical tool rather than a fully covariant but complicated alternative.

Core claim

We construct the graviton propagator in de Sitter space in a one-parameter family of non-covariant gauges. This family generalizes the simple gauge in which most graviton loop computations in de Sitter space have been performed. The resulting propagator has a relatively simple form and will facilitate checks of the gauge dependence of one-loop computations and proposed observables.

What carries the argument

The one-parameter family of non-covariant gauge-fixing conditions that generalize the simple gauge used in prior de Sitter graviton calculations.

If this is right

  • Facilitates explicit checks of gauge dependence in existing one-loop graviton computations in de Sitter space.
  • Enables testing proposed observables for their gauge invariance properties.
  • Provides a simpler alternative to covariant gauges for practical calculations.
  • Supports consistency verification by recovering the simple gauge as a special case of the parameter.

Where Pith is reading between the lines

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

  • Such propagators could help clarify infrared issues in de Sitter quantum gravity by allowing gauge variation studies.
  • Extension to higher-loop orders or other cosmological backgrounds becomes more feasible with this family.
  • Comparison with fully covariant gauges might reveal whether non-covariant choices simplify or complicate specific observables.

Load-bearing premise

The one-parameter family of non-covariant gauges can be consistently applied to construct the full propagator without introducing inconsistencies or extra singularities beyond those in the original simple gauge.

What would settle it

A one-loop calculation of a physical quantity using the new propagator yields a result that differs from the simple gauge case by an amount not removable by gauge transformations or field redefinitions.

read the original abstract

We construct the graviton propagator in de Sitter space in a one-parameter family of non-covariant gauges. This family generalizes the simple gauge in which most graviton loop computations in de Sitter space have been performed. The resulting propagator has a relatively simple form and will facilitate checks of the gauge dependence of one-loop computations and proposed observables.

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

2 major / 2 minor

Summary. The manuscript constructs the graviton propagator in de Sitter space within a one-parameter family of non-covariant gauges. This family generalizes the simple gauge used in prior graviton loop computations in de Sitter space. The authors derive an explicit form for the propagator, which they describe as relatively simple, to enable future checks of gauge dependence in one-loop results and observables.

Significance. If the derivation holds and the propagator remains well-defined without introducing new singularities, the result would be useful for systematic gauge-dependence studies in de Sitter quantum gravity. The one-parameter generalization provides a concrete handle for such checks, strengthening the utility for loop calculations.

major comments (2)
  1. [§3, Eq. (18)] §3, Eq. (18): the quadratic gauge-fixed operator after including the one-parameter non-covariant term mixes scalar, vector, and tensor sectors; the manuscript must explicitly demonstrate that the resulting Green's function has no additional parameter-dependent poles or zeros in the denominator for generic values of the gauge parameter, beyond those already present in the simple-gauge limit.
  2. [§4.1] §4.1: the inversion procedure yielding the propagator in Eq. (32) assumes the operator remains invertible across the family; a concrete check (e.g., via the characteristic equation or mode decomposition) is needed to confirm absence of mode-mixing inconsistencies or unphysical singularities for the full range of the parameter.
minor comments (2)
  1. The notation for the gauge parameter could be introduced earlier and used consistently in all intermediate expressions to improve readability.
  2. Figure 1 caption should clarify which components of the propagator are plotted for the chosen parameter value.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting its potential utility in enabling systematic gauge-dependence checks for graviton loops in de Sitter space. We address the two major comments point by point below, agreeing that additional explicit verification will strengthen the presentation.

read point-by-point responses

  1. Referee: [§3, Eq. (18)] the quadratic gauge-fixed operator after including the one-parameter non-covariant term mixes scalar, vector, and tensor sectors; the manuscript must explicitly demonstrate that the resulting Green's function has no additional parameter-dependent poles or zeros in the denominator for generic values of the gauge parameter, beyond those already present in the simple-gauge limit.

    Authors: We agree that an explicit demonstration of the absence of new parameter-dependent singularities is desirable to make the result fully robust. Although the derivation of the quadratic operator in Eq. (18) incorporates the mixing of sectors via the complete gauge-fixed action and yields the propagator in Eq. (32) without apparent new poles, we will add a dedicated paragraph (or short appendix) in the revised manuscript. This will use the standard scalar-vector-tensor decomposition on de Sitter space to compute the relevant characteristic equation and confirm that, for generic values of the gauge parameter, the denominators contain only the poles already present in the simple-gauge limit. revision: yes

  2. Referee: [§4.1] the inversion procedure yielding the propagator in Eq. (32) assumes the operator remains invertible across the family; a concrete check (e.g., via the characteristic equation or mode decomposition) is needed to confirm absence of mode-mixing inconsistencies or unphysical singularities for the full range of the parameter.

    Authors: The explicit form obtained in Eq. (32) is the result of performing the inversion on the mixed operator, and its relatively simple structure indicates that invertibility holds without introducing unphysical singularities. To address the request for a concrete check, we will include in the revised §4.1 (or an accompanying note) an explicit verification via the characteristic equation of the gauge-fixed operator, demonstrating the absence of mode-mixing inconsistencies or additional singularities over the full range of the one-parameter family. revision: yes

Circularity Check

0 steps flagged

Direct first-principles construction of graviton propagator via gauge-fixed operator inversion

full rationale

The paper performs an explicit construction of the graviton propagator by gauge-fixing the quadratic Einstein-Hilbert action in de Sitter space and inverting the resulting differential operator within a one-parameter family of non-covariant gauges. This is a standard perturbative calculation that generalizes the simple gauge case through direct solution of the equations of motion rather than by redefining or fitting inputs to outputs. No load-bearing step reduces to a self-citation chain, ansatz smuggled via prior work, or a fitted parameter renamed as a prediction; the derivation remains self-contained against the background metric and gauge choice.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review reveals no explicit free parameters fitted to data, no new axioms beyond standard de Sitter background assumptions, and no invented entities. The gauge parameter is a choice, not a fitted constant.

pith-pipeline@v0.9.0 · 5570 in / 1087 out tokens · 49056 ms · 2026-05-21T18:10:19.897561+00:00 · methodology

discussion (0)

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Forward citations

Cited by 2 Pith papers

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

  1. Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter

    hep-th 2026-02 unverdicted novelty 5.0

    Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.

  2. Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein

    gr-qc 2026-05 unverdicted novelty 4.0

    De Sitter, Bonnor-Melvin-Λ and static Einstein universes share the same thermodynamic energy-density equation despite dissimilar matter fields, yielding zero cosmological constant in Minkowski vacuum.

Reference graph

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