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arXiv · hep-th/9411177

An Improved Heat Kernel Expansion from Worldline Path Integrals

D. Fliegner·P. Haberl·M. G. Schmidt·C. Schubert
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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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D. Fliegner, P. Haberl, M. G. Schmidt, C. Schubert. 1994-11-23. An Improved Heat Kernel Expansion from Worldline Path Integrals. https://arxiv.org/abs/hep-th/9411177

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