Photon quantization in cosmological spaces
arXiv:2212.13975 · doi:10.1103/PhysRevD.109.085014
Abstract
Canonical quantization of the photon -- a free massless vector field -- is considered in cosmological spacetimes in a two-parameter family of linear gauges that treat all the vector potential components on equal footing. The goal is setting up a framework for computing photon two-point functions appropriate for loop computations in realistic inflationary spacetimes. The quantization is implemented without relying on spacetime symmetries, but rather it is based on the classical canonical structure. Special attention is paid to the quantization of the canonical first-class constraint structure that is implemented as the condition on the physical states. This condition gives rise to subsidiary conditions that the photon two-point functions must satisfy. Some of the de Sitter space photon propagators from the literature are found not to satisfy these subsidiary conditions, bringing into question their consistency.
48 pages, corresponds to published version
References in corpus (20)
- Stochastic Inflationary Scalar Electrodynamics
- Two loop stress-energy tensor for inflationary scalar electrodynamics
- Two Loop Scalar Bilinears for Inflationary SQED
- A Maximally Symmetric Vector Propagator
- Group Averaging for de Sitter free fields
- One Loop Corrected Mode Functions for SQED during Inflation
- Excitation of Photons by Inflationary Gravitons
- 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
- Infrared behavior and gauge artifacts in de Sitter spacetime: The photon field
- Deducing Cosmological Observables from the S-matrix
- One loop graviton corrections to dynamical photons in de Sitter
- Group Averaging of massless scalar fields in 1+1 de Sitter
- Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
- 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
- Removing the Faddeev-Popov zero modes from Yang-Mills theory in spacetimes with compact spatial sections
- Maxwell field with gauge fixing term in de Sitter space: exact solution and stress tensor
- Lorenz gauge quantization in conformally flat spacetimes