Generalized Heat Kernel Coefficients for a New Asymptotic Expansion

Details Generalized Heat Kernel Coefficients for a New Asymptotic Expansion Generalized Heat Kernel Coefficients for a New Asymptotic Expansion

2002-12-13

arxiv.org/abs/hep-th/0212157v1

AIP Conf.Proc. 660 (2003) 62-68

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, talk presented at II Int. Workshop on Hadron Physics, Coimbra, Portugal, September 2002, to appear in the AIP Confere

Scientific paper

10.1063/1.1570560

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.

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