Photon propagator for inflation in the general covariant gauge
arXiv:2405.00226 · doi:10.1007/JHEP07(2024)103
Abstract
Photon propagator for power-law inflation is considered in the general covariant gauges within the canonical quantization formalism. Photon mode functions in covariant gauges are considerably more complicated than their scalar counterparts, except for the special choice of the gauge-fixing parameter we call the simple covariant gauge. We explicitly construct the position space photon propagator in the simple covariant gauge, and find the result considerably more complicated than its scalar counterpart. This is because of the need for explicitly inverting the Laplace operator acting on the scalar propagator, which results in Appell's fourth function. Our propagator correctly reproduces the de Sitter and flat space limits. We use this propagator to compute two simple observables: the off-coincident field strength-field strength correlator and the energy-momentum tensor, both of which yield consistent results. As a spinoff of our computation we also give the exact expression for the Coulomb gauge propagator in power-law inflation in arbitrary dimensions.
arXiv comment77 pages (including 25 pages of appendices)
References in corpus (79)
- The Standard Model Higgs boson as the inflaton
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- Cosmological Magnetic Fields: Their Generation, Evolution and Observation
- Introduction to Nonequilibrium Quantum Field Theory
- A field-theory motivated approach to symbolic computer algebra
- A review of Axion Inflation in the era of Planck
- Stochastic Inflationary Scalar Electrodynamics
- Living beyond the edge: Higgs inflation and vacuum metastability
- Gauge-preheating and the end of axion inflation
- Magnetogenesis from axion inflation
- The Higgs field as an inflaton
- Photon mass from inflation
- One Loop Vaccum Polarization in a Locally de Sitter Background
- Violent Preheating in Inflation with Nonminimal Coupling
- Primordial Spectrum of Gauge Fields from Inflation
- Gauge Field and Fermion Production during Axion Inflation
- Standard Model Background of the Cosmological Collider
- Standard Model Mass Spectrum in Inflationary Universe
- Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
- Primordial magnetic fields from inflation?
- Primordial magnetic fields induced by cosmological particle creation
- Two loop stress-energy tensor for inflationary scalar electrodynamics
- Infrared Propagator Corrections for Constant Deceleration
- Two Loop Scalar Bilinears for Inflationary SQED
- Gauge-field production during axion inflation in the gradient expansion formalism
- Vacuum polarization and photon mass in inflation
- Quantum corrections in Higgs inflation: the real scalar case
- Charged Scalar Self-Mass during Inflation
- Wave Propagation in Stochastic Spacetimes: Localization, Amplification and Particle Creation
- A Maximally Symmetric Vector Propagator
- Quantum radiative corrections to slow-roll inflation
- Group Averaging for de Sitter free fields
- Photon mass generation during inflation: de Sitter invariant case
- One Loop Corrected Mode Functions for SQED during Inflation
- Quantum corrections in Higgs inflation: the Standard Model case
- Excitation of Photons by Inflationary Gravitons
- Graviton Corrections to Vacuum Polarization during Inflation
- Electrodynamic Effects of Inflationary Gravitons
- Transforming to Lorentz Gauge on de Sitter
- Fermion Propagator in Cosmological Spaces with Constant Deceleration
- The quantum theory of the free Maxwell field on the de Sitter expanding universe
- Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
- Non-Abelian gauge preheating
- One-loop graviton corrections to Maxwell's equations
- The Hubble Effective Potential
- Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincaré patch of de Sitter space
- Quantum corrections to scalar field dynamics in a slow-roll space-time
- Stueckelberg massive electromagnetism in curved spacetime: Hadamard renormalization of the stress-energy tensor and the Casimir effect
- Lattice simulations of Abelian gauge fields coupled to axions during Inflation
- Covariant Vacuum Polarizations on de Sitter Background
- Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors
- One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime
- A graviton propagator for inflation
- Infrared behavior and gauge artifacts in de Sitter spacetime: The photon field
- Effective action for the Abelian Higgs model in FLRW
- One loop graviton corrections to dynamical photons in de Sitter
- Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration
- Gauge preheating with full general relativity
- Group Averaging of massless scalar fields in 1+1 de Sitter
- Fine Tuning May Not Be Enough
- The Graviton Tail almost Completely Wags the Dog
- Debye mass in de Sitter space
- One-loop electromagnetic correlators of SQED in power-law inflation
- Light scalars on cosmological backgrounds
- One-loop quantum gravitational backreaction on the local Hubble rate
- Ricci Subtraction for Cosmological Coleman-Weinberg Potentials
- The Inflaton Effective Potential for General
- Einstein-Yang-Mills Theory: Gauge Invariant Charges and Linearization Instability
- Even the photon propagator must break de Sitter symmetry
- Photon propagator in de Sitter space in the general covariant gauge
- Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
- Inflaton Effective Potential from Photons for General
- Dynamics of Electroweak Gauge Fields during and after Higgs Inflation
- Removing the Faddeev-Popov zero modes from Yang-Mills theory in spacetimes with compact spatial sections
- When tadpoles matter: One-loop corrections for spectator Higgs in inflation
- Graviton backreaction on the local cosmological expansion in slow-roll inflation
- Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
- Large-distance behaviour of the massless vector two-point function in de Sitter spacetime
- Photon quantization in cosmological spaces