Euclidean Thermal Green Functions of Photons in Generalized Euclidean Rindler Spaces for any Feynman-like Gauge

TL;DR

This paper computes thermal Euclidean Green functions for photons in Rindler space across gauges, generalizing Minkowskian formulas, and discusses gauge ambiguities and extensions to complex manifolds.

Contribution

It introduces a generalized formula for Euclidean Green functions of photons in Rindler space applicable to any covariant Feynman-like gauge, extending previous Minkowskian results.

Findings

Green functions match Minkowskian vacuum functions at =2\u03c0

Gauge ambiguities are analyzed and discussed

Ward identities are verified in the general case

Abstract

The thermal Euclidean Green functions for Photons propagating in the Rindler wedge are computed employing an Euclidean approach within any covariant Feynman-like gauge. This is done by generalizing a formula which holds in the Minkowskian case. The coincidence of the found $(\be=2\pi)$-Green functions and the corresponding Minkowskian vacuum Green functions is discussed in relation to the remaining static gauge ambiguity already found in previous papers. Further generalizations to more complicated manifolds are discussed. Ward identities are verified in the general case.