Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections | Paper Citation Record

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Obser- vations: Final Maps and Results

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Curvature of the Universe Using Type Ia Supernovae

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Supernovae, Dark Energy, and the Accelerating Universe: The Status of the Cosmological Parameters

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Les Houches lectures on de Sitter space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Quantum Gravity In De Sitter Space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections De Sitter Musings

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Modave Lecture Notes on de Sitter Space & Holography

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Action Integrals and Partition Functions in Quantum Gravity

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Wave Function of the Universe

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Cosmological Event Horizons, Thermodynamics, and Particle Creation

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Quantum Gravity and Path Integrals

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Leading quantum correction to the Newtonian potential

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The effective field theory treatment of quantum gravity

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The two-sphere partition function in two-dimensional quantum gravity

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The two-sphere partition function in two-dimensional quantum gravity at fixed area

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Interpolating geometries and the stretched dS$_2$ horizon

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The two-sphere partition function from timelike Liouville theory at three-loop order

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections dS$_2$ Supergravity

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections General-relativistic quantum field theory: An exactly soluble model

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Scalar effective Lagrangian in de Sitter space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Quantum Field Theory in de Sitter Space: Renor- malization by Point Splitting

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Harmonic analysis and propagators on homogeneous spaces

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Generalized Euler integrals and A - hyper- geometric functions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections An Evaluation of the Graviton Propagator in De Sitter Space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Critical points and number of master integrals

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections A Simple formula for reducing Feynman diagrams to scalar integrals

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Covariant actions and propagators for all spins, masses, and dimensions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections On a conjecture of Regge and Sato on Feynman integrals

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Status of Intersection Theory and Feynman Integrals

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Kinematic singularities of Feynman integrals and principal A-determinants

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Periods of Feynman Diagrams and GKZ D-Modules

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Feynman integral relations from parametric annihilators

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Feynman integrals as A-hypergeometric functions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Hypergeometric Series Representations of Feynman Integrals by GKZ Hypergeometric Systems

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The De Sitter Vacuum

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Vacuum States in de Sitter Space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Spectral functions and zeta functions in hyperbolic spaces

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Vector Two Point Functions in Maximally Symmetric Spaces

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections TASI lectures on AdS/CFT

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincar\'e patch of de Sitter space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The Graviton Propagator in Maximally Symmetric Spaces

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Quantizing Gravity with a Cosmological Constant

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections On Loops in Inflation

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The IR stability of de Sitter: Loop corrections to scalar propagators

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The IR stability of de Sitter QFT: Physical initial conditions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Infrared instability of the de Sitter space

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Conformal QED$_d$, $F$-Theorem and the $\epsilon$ Expansion

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Generalized $F$-Theorem and the $\epsilon$ Expansion

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Loops in de Sitter space

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This paper cites Integration by parts: The algorithm to calculateβ- functions in 4 loops.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Integration by parts: The algorithm to calculateβ- functions in 4 loops

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This paper cites A theorem on analytical calculability of 4-loop renormalization group func- tions.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections A theorem on analytical calculability of 4-loop renormalization group func- tions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Automatic Computation of Feynman Diagrams

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Differential Equations for Two-Loop Four-Point Functions

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity

Reference 58

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Three loop on-shell charge renormalization without integration: Lambda- MS (QED) to four loops

Reference 59

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Differential equations method: The Calculation of vertex type Feynman diagrams

Reference 60

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The Master Differential Equations for the 2-loop Sunrise Selfmass Amplitudes

Reference 61

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This paper cites Differential equation method: The Calculation of N point Feynman dia- grams.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Differential equation method: The Calculation of N point Feynman dia- grams

Reference 62

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This paper cites Explicit solutions of the multi-loop integral recurrence relations and its application.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Explicit solutions of the multi-loop integral recurrence relations and its application

Reference 63

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This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 64

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The Four-loop QCD beta-function and anomalous dimensions

Reference 65

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This paper cites The third-order QCD corrections to deep-inelastic scattering by photon exchange.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The third-order QCD corrections to deep-inelastic scattering by photon exchange

Reference 66

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This paper cites Five-Loop Running of the QCD coupling constant.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Five-Loop Running of the QCD coupling constant

Reference 67

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This paper cites The five-loop beta function of Yang-Mills theory with fermions.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The five-loop beta function of Yang-Mills theory with fermions

Reference 68

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This paper cites The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

Reference 69

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This paper cites Algebraic algorithms for multiloop calculations. The first 15 years. What's next?.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Algebraic algorithms for multiloop calculations. The first 15 years. What's next?

Reference 70

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This paper cites Holonomy Structure of Landau Singularities and Feynman Integrals.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Holonomy Structure of Landau Singularities and Feynman Integrals

Reference 71

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Periods and Feynman integrals

Reference 72

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Feynman Diagrams, Differential Reduction, and Hypergeometric Functions

Reference 73

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This paper cites Mellin–Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Mellin–Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions

Reference 74

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Hypergeometric Functions and Feynman Diagrams

Reference 75

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Landau Discriminants

Reference 76

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Principal Landau Determinants

Reference 77

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This paper cites Symmetric Tensor Spherical Harmonics on theN Sphere and Their Application to the De Sitter Group SO(N,1).

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Symmetric Tensor Spherical Harmonics on theN Sphere and Their Application to the De Sitter Group SO(N,1)

Reference 78

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This paper cites On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces

Reference 79

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This paper cites On the Definition and Approximation of Feynman’s Path Integrals.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections On the Definition and Approximation of Feynman’s Path Integrals

Reference 80

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This paper cites Dynamical theory in curved spaces. 1. A Review of the classical and quantum action principles.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Dynamical theory in curved spaces. 1. A Review of the classical and quantum action principles

Reference 81

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This paper cites The Massless Minimally Coupled Scalar Field in De Sitter Space.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The Massless Minimally Coupled Scalar Field in De Sitter Space

Reference 82

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This paper cites Maximally symmetric vector propagator.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Maximally symmetric vector propagator

Reference 83

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This paper cites Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors

Reference 84

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This paper cites Photon propagator in de Sitter space in the general covariant gauge.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Photon propagator in de Sitter space in the general covariant gauge

Reference 85

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Graviton Fluctuations in De Sitter Space

Reference 86

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Massive spin 2 propagator on de Sitter space

Reference 87

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This paper cites Graviton and gauge boson propagators in AdS(d+1).

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Graviton and gauge boson propagators in AdS(d+1)

Reference 88

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This paper cites The covariant graviton propagator in de Sitter spacetime.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The covariant graviton propagator in de Sitter spacetime

Reference 89

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Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Massive Spin-2 Field in De Sitter Space

Reference 90

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Observation a0da2bd5-1f1a-4b56-a52a-b47271303e9f · outbound

This paper cites The Graviton Propagator in de Donder Gauge on de Sitter Background.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections The Graviton Propagator in de Donder Gauge on de Sitter Background

Reference 91

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This paper cites Massive spin-2 theories.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Massive spin-2 theories

Reference 92

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This paper cites Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge

Reference 93

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This paper cites Two-point Functions and Quantum Fields in de Sitter Universe.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Two-point Functions and Quantum Fields in de Sitter Universe

Reference 94

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This paper cites Cosmological perturbation theory and quantum gravity.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Cosmological perturbation theory and quantum gravity

Reference 95

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This paper cites Propagators for gauge-invariant observables in cosmology.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Propagators for gauge-invariant observables in cosmology

Reference 96

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This paper cites Majorana propagator on de Sitter space.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Majorana propagator on de Sitter space

Reference 97

Resolution: verified exact; local_arxiv, observed 2026-08-12T13:00:12.006464Z

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Observation b3ee76f5-4e0c-4480-a9fc-3dfec6f9cae7 · outbound

This paper cites de Sitter Supersymmetry Revisited.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections de Sitter Supersymmetry Revisited

Reference 98

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This paper cites de Sitter at all loops: the story of the Schwinger model.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections de Sitter at all loops: the story of the Schwinger model

Reference 99

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This paper cites Duality in Calabi-Yau Moduli Space.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Duality in Calabi-Yau Moduli Space

Reference 100

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This paper cites Calabi-Yau Manifolds and Renormalization Group Flows.

Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections Calabi-Yau Manifolds and Renormalization Group Flows

Reference 101

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