Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 649-674
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V. P. Gusynin; V. V. Kornyak. DeWitt–Seeley–Gilkey coefficients for nonminimal differential operators in curved space. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 649-674. http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/
@article{FPM_1999_5_3_a1,
author = {V. P. Gusynin and V. V. Kornyak},
title = {DeWitt{\textendash}Seeley{\textendash}Gilkey coefficients for nonminimal differential operators in curved space},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {649--674},
year = {1999},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/}
}
TY - JOUR
AU - V. P. Gusynin
AU - V. V. Kornyak
TI - DeWitt–Seeley–Gilkey coefficients for nonminimal differential operators in curved space
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1999
SP - 649
EP - 674
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/
LA - ru
ID - FPM_1999_5_3_a1
ER -
%0 Journal Article
%A V. P. Gusynin
%A V. V. Kornyak
%T DeWitt–Seeley–Gilkey coefficients for nonminimal differential operators in curved space
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 649-674
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/
%G ru
%F FPM_1999_5_3_a1
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.
