Asymptotic expansion coefficients of the heat kernel in Riemann-Cartan space

TL;DR

This paper derives the fifth coefficients of the heat kernel expansion for spin-1/2 fermions in Riemann-Cartan space using covariant Taylor expansion, extending known Riemannian results through straightforward modifications.

Contribution

It provides explicit formulas for heat kernel coefficients in Riemann-Cartan space, generalizing Riemannian results with simple replacements.

Findings

Explicit fifth coefficients of heat kernel expansion derived.

Method applies covariant Taylor expansion to Riemann-Cartan geometry.

Results facilitate calculations in quantum field theory on curved spaces.

Abstract

By applying the covariant Taylor expansion method, the fifth lower coefficients the asymptotic expansion of the heat kernel associated with a fermion of spin 1/2 in Riemann-Cartan space are manifestly given. These coefficients in Riemann-Cartan space is derived from those obtained in Riemannian space by simple replacements.