arXiv:hep-th/9411177·v1·High Energy Physics — Theory
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.
Comments: 13 pages, Plain TEX, no figures