An Improved Heat Kernel Expansion from Worldline Path Integrals
High Energy Physics - Theory
2011-04-15 v1 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/9411177,
title = {An Improved Heat Kernel Expansion from Worldline Path Integrals},
author = {D. Fliegner and P. Haberl and M. G. Schmidt and C. Schubert},
journal= {arXiv preprint arXiv:hep-th/9411177},
year = {2011}
}
Comments
13 pages, Plain TEX, no figures