Thermal Quantum Fields in Static Electromagnetic Backgrounds
A.A. Actor, K.D. Rothe

TL;DR
This paper explores the mathematical properties of thermal quantum fields in static electromagnetic backgrounds, analyzing their spatial nonuniformity through detailed examples involving electric and magnetic fields coupled to scalar fields.
Contribution
It introduces new mathematical results on the spatial nonuniformity of thermal quantum fields in static electromagnetic backgrounds, with detailed case studies.
Findings
Analysis of spatial nonuniformity in thermal quantum fields
Explicit solutions for scalar fields in uniform electric and magnetic backgrounds
Insights into the coupling effects of electromagnetic potentials on thermal fields
Abstract
We present and discuss, at a general level, new mathematical results on the spatial nonuniformity of thermal quantum fields coupled minimally to static background electromagnetic potentials. Two distinct examples are worked through in some detail: uniform (parallel and perpendicular) background electric and magnetic fields coupled to a thermal quantum scalar field.
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