FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 3, PAGES 649-674
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.
All articles are published in Russian.
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Last modified: November 11, 1999