Singularities of Green functions of the products of the Laplace type operators

Details Singularities of Green functions of the products of the Laplace type operators Singularities of Green functions of the products of the Laplace type operators

1997-02-28

arxiv.org/abs/hep-th/9703005v2

Phys.Lett. B403 (1997) 280-284

Physics

High Energy Physics

High Energy Physics - Theory

12 Pages, LaTeX, 30 KB, No Figures, submitted to Physics Letters B, Discussion of the Huygence principle is removed

Scientific paper

10.1016/S0370-2693(97)00536-4

The structure of diagonal singularities of Green functions of partial differential operators of even order acting on smooth sections of a vector bundle over a Riemannian man ifold is studied. A special class of operators formed by the products of second-order operators of Laplace type defined with the help of a unique Riemannian metric and a unique bundle connection but with different potential terms is investigated. Explicit simple formulas for singularities of Green functions of such operators in terms of the usual heat kernel coefficients are obtained.

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