Generalized Heat Kernel Coefficients for a New Asymptotic Expansion

摘要

The method which allows for asymptotic expansion of the one-loop effective action W = lndetA 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 nongenerate mass matrix M = diag(m_1 ,m_2,..,) is considered. The first coefficients of the new asymptotic series are calculated and their relationship with the Seeley ― DeWitt coefficients is clarified.