Transforming to Lorentz Gauge on de Sitter

Abstract

We demonstrate that certain gauge fixing functionals cannot be added to the action on backgrounds such as de Sitter in which a linearization instability is present. We also construct the field dependent gauge transformation which carries the electromagnetic vector potential from a convenient, non-de Sitter invariant gauge to the de Sitter invariant, Lorentz gauge. The transformed propagator agrees with the de Sitter invariant result previously found by solving the propagator equation in Lorentz gauge. This shows that the gauge transformation technique will eliminate unphysical breaking of de Sitter invariance introduced by a gauge condition. It is suggested that the same technique can be used to finally resolve the issue of whether or not free gravitons are de Sitter invariant.

45 pages

References in corpus (10)

• Stochastic Inflationary Scalar Electrodynamics
• Leading Log Solution for Inflationary Yukawa
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• Infrared Propagator Corrections for Constant Deceleration
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Two Loop Scalar Bilinears for Inflationary SQED
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• A Maximally Symmetric Vector Propagator
• One Loop Corrected Mode Functions for SQED during Inflation
• On the FP-ghost propagators for Yang-Mills theories and perturbative quantum gravity in the covariant gauge in de Sitter spacetime

Cited by in corpus (39)

• On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT
• De Sitter Breaking through Infrared Divergences
• Perturbative Quantum Gravity Comes of Age
• de Sitter invariance of the dS graviton vacuum
• Riemann correlator in de Sitter including loop corrections from conformal fields
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• The Perils of Analytic Continuation
• Graviton Corrections to Vacuum Polarization during Inflation
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Physical equivalence between the covariant and physical graviton two-point functions in de Sitter spacetime
• Gauging away Physics
• Weyl-Weyl Correlator in de Donder Gauge on de Sitter
• Linearized Weyl-Weyl Correlator in a de Sitter Breaking Gauge
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• The Coincidence Limit of the Graviton Propagator in de Donder Gauge on de Sitter Background
• Constructing Infrared Finite Propagators in Inflating Space-time
• Covariant Vacuum Polarizations on de Sitter Background
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• Quantum Gravity and Inflation
• IR finite graviton propagators in de Sitter spacetime
• Representing the Vacuum Polarization on de Sitter
• One loop graviton corrections to dynamical photons in de Sitter
• Representing the Graviton Self-Energy on de Sitter Background
• Phase Spaces for asymptotically de Sitter Cosmologies
• Single Graviton Loop Contribution to the Self-Mass of a Massless, Conformally Coupled Scalar on de Sitter Background
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• Vacuum states for gravitons field in de Sitter space
• Even the photon propagator must break de Sitter symmetry
• Photon propagator in de Sitter space in the general covariant gauge
• Removing the Faddeev-Popov zero modes from Yang-Mills theory in spacetimes with compact spatial sections
• Inflaton Effective Potential from Photons for General $\epsilon$
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Photon propagator for inflation in the general covariant gauge
• Gauge dependence in QED amplitudes in expanding de Sitter space
• Photon quantization in cosmological spaces
• Some Inconvenient Truths