An Improved Heat Kernel Expansion from Worldline Path Integrals

Details An Improved Heat Kernel Expansion from Worldline Path Integrals An Improved Heat Kernel Expansion from Worldline Path Integrals

1994-11-23

arxiv.org/abs/hep-th/9411177v1

Discourses Math.Appl.4:87-99,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Plain TEX, no figures

Scientific paper

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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