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 ($E$₄) 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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Location: http://mech.math.msu.su/~fpm/eng/99/993/99302h.htm
Last modified: November 11, 1999