An Improved Heat Kernel Expansion from Worldline Path Integrals
D. Fliegner, P. Haberl, M. G. Schmidt, C. Schubert
Abstract
The one--loop effective action for the case of a massive scalar loop in the background of both a scalar potential and an abelian or non--abelian gauge field is written in a one--dimensional path integral representation. From this the inverse mass expansion is obtained by Wick contractions using a suitable Green function, which allows the computation of higher order coefficients. For the scalar case, explicit results are presented up to order O(T**8) in the proper time expansion. The relation to previous work is clarified.
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