On the Heat Kernel in Covariant Background Gauge
E.I.Guendelman, A.Leonidov, V.Nechitailo, D.A.Owen

TL;DR
This paper calculates the first three coefficients of the heat kernel expansion for a nonminimal nonabelian kinetic operator in a general background gauge and arbitrary space-time dimension.
Contribution
It provides explicit calculations of heat kernel coefficients for complex gauge operators in diverse backgrounds, extending previous results.
Findings
Calculated first three heat kernel coefficients for nonminimal operators
Extended heat kernel analysis to arbitrary gauge and space-time dimensions
Provides foundational results for quantum field theory in curved spacetime
Abstract
The first three coefficients in an expansion of the heat kernel of a nonminimal nonabelian kinetic operator taken in an arbitrary background gauge in arbitrary space-time dimension are calculated
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