Generalized Heat Kernel Coefficients for a New Asymptotic Expansion
High Energy Physics - Theory
2009-11-07 v1
Abstract
The method which allows for asymptotic expansion of the one-loop effective action W=ln det A is formulated. The positively defined elliptic operator A= U + M^2 depends on the external classical fields taking values in the Lie algebra of the internal symmetry group G. Unlike the standard method of Schwinger - DeWitt, the more general case with the nondegenerate mass matrix M=diag(m1,m2,...) is considered. The first coefficients of the new asymptotic series are calculated and their relationship with the Seeley-DeWitt coefficients is clarified.
Cite
@article{arxiv.hep-th/0212157,
title = {Generalized Heat Kernel Coefficients for a New Asymptotic Expansion},
author = {Alexander A. Osipov and Brigitte Hiller},
journal= {arXiv preprint arXiv:hep-th/0212157},
year = {2009}
}
Comments
7 pages, talk presented at II Int. Workshop on Hadron Physics, Coimbra, Portugal, September 2002, to appear in the AIP Conference Proceedings