Coulomb Gauge in One-Loop Quantum Cosmology
Giampiero Esposito, Alexander Yu. Kamenshchik

TL;DR
This paper investigates the Coulomb gauge in one-loop quantum cosmology, demonstrating consistency between different computational approaches on a flat Euclidean background with boundaries.
Contribution
It provides a detailed analysis of the Coulomb gauge's role in quantum cosmology, clarifying discrepancies between covariant and non-covariant formalisms.
Findings
Mode-by-mode analysis aligns with Schwinger-DeWitt results.
Consistent results across relativistic gauges and Coulomb gauge.
Clarifies gauge-related discrepancies in quantum field calculations.
Abstract
The well-known discrepancies between covariant and non-covariant formalisms in quantum field theory and quantum cosmology are analyzed by focusing on the Coulomb gauge for vacuum Maxwell theory. On studying a flat Euclidean background with boundaries, the corresponding mode-by-mode analysis of one-loop quantum amplitudes agrees with the results of the Schwinger-DeWitt technique and of mode-by-mode calculations in relativistic gauges.
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