Heat Kernel Expansions for Distributional Backgrounds

TL;DR

This paper calculates heat kernel expansion coefficients for vacuum fluctuations in the presence of distributional background potentials and field strengths, providing detailed terms up to t^5/2.

Contribution

It introduces new calculations of heat kernel coefficients for distributional backgrounds, extending previous results to higher order terms.

Findings

Derived explicit heat kernel coefficients up to t^5/2.

Enhanced understanding of vacuum fluctuations with distributional backgrounds.

Provides formulas useful for quantum field theory in singular backgrounds.

Abstract

Heat kernel expansion coefficients are calculated for vacuum fluctuations with distributional background potentials and field strengths. Terms up to and including t^5/2 are presented.