Photon propagator in de Sitter space in the general covariant gauge

Abstract

We consider a free photon field in $D$-dimensional de Sitter space, and construct its propagator in the general covariant gauge. Canonical quantization is employed to define the system starting from the classical theory. This guarantees that the propagator satisfies both the equation of motion and subsidiary conditions descending from gauge invariance and gauge fixing. We first construct the propagator as a sum-over-modes in momentum space, carefully accounting for symmetry properties of the state. We then derive the position space propagator in a covariant representation, that is our main result. Our conclusions disagree with previous results as we find that the position space photon propagator necessarily breaks de Sitter symmetry, except in the exact transverse gauge limit.

arXiv comment47 pages

References in corpus (68)

• Kerr black holes with scalar hair
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• The Magnetized Universe
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• Gauge Fields and Inflation
• Vector Inflation
• A review of Axion Inflation in the era of Planck
• Stochastic Inflationary Scalar Electrodynamics
• Gauge-preheating and the end of axion inflation
• Magnetogenesis from axion inflation
• Photon mass from inflation
• Can a vector field be responsible for the curvature perturbation in the Universe?
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Violent Preheating in Inflation with Nonminimal Coupling
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Primordial Spectrum of Gauge Fields from Inflation
• Standard Model Background of the Cosmological Collider
• Loop Corrections to Standard Model Fields in Inflation
• Standard Model Mass Spectrum in Inflationary Universe
• Inflationary Perturbations: the Cosmological Schwinger Effect
• Schwinger effect in de Sitter space
• Natural Magnetogenesis from Inflation
• Vector Curvaton without Instabilities
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Infrared Propagator Corrections for Constant Deceleration
• Two Loop Scalar Bilinears for Inflationary SQED
• Field-theoretic derivation of bubble-wall force
• Cosmological electromagnetic fields and dark energy
• Dynamics of super-horizon photons during inflation with vacuum polarization
• Vacuum polarization and photon mass in inflation
• Charged Scalar Self-Mass during Inflation
• A Maximally Symmetric Vector Propagator
• The 1-loop effective potential for the Standard Model in curved spacetime
• Non-minimally coupled vector curvaton
• One Loop Corrected Mode Functions for SQED during Inflation
• The electromagnetic dark sector
• Schwinger Effect by an $SU(2)$ Gauge Field during Inflation
• Excitation of Photons by Inflationary Gravitons
• Graviton Corrections to Vacuum Polarization during Inflation
• Transforming to Lorentz Gauge on de Sitter
• Electrodynamic Effects of Inflationary Gravitons
• Viability of vector-tensor theories of gravity
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Graviton Corrections to Maxwell's Equations
• Vacuum birefringence and the Schwinger effect in (3+1) de Sitter
• Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors
• Covariant Vacuum Polarizations on de Sitter Background
• Deducing Cosmological Observables from the S-matrix
• Effective action for the Abelian Higgs model in FLRW
• Infrared behavior and gauge artifacts in de Sitter spacetime: The photon field
• Axion assisted Schwinger effect
• Representing the Vacuum Polarization on de Sitter
• Cosmological Coleman-Weinberg Potentials and Inflation
• One loop graviton corrections to dynamical photons in de Sitter
• Fine Tuning May Not Be Enough
• Debye mass in de Sitter space
• One-loop electromagnetic correlators of SQED in power-law inflation
• The Dark Magnetism of the Universe
• Breaking of scaling symmetry by massless scalar on de Sitter
• Ricci Subtraction for Cosmological Coleman-Weinberg Potentials
• Radiative Lifting of Flat Directions of the MSSM in de Sitter Background
• Does three dimensional electromagnetic field inherit the spacetime symmetries?
• Even the photon propagator must break de Sitter symmetry
• Photon propagator in de Sitter space in the general covariant gauge
• Inflaton Effective Potential from Photons for General $\epsilon$
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Superhorizon Electromagnetic Field Background from Higgs Loops in Inflation
• Reheating with Effective Potentials

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