FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 3, PAGES 649-674

DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space

V. P. Gusynin
V. V. Kornyak

Abstract

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Asymptotic heat kernel expansion for nonminimal differential operators on curved manifolds in the presence of a gauge field is considered. The complete expressions for the fourth coefficient (E4) in the heat kernel expansion for such operators are presented for the first time. The expressions were computed for general case of manifolds of arbitrary dimension n and also for the most important case n=4. The calculations have been carried out on PC with the help of a program written in C.


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