DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 649-674
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{FPM_1999_5_3_a1,
author = {V. P. Gusynin and V. V. Kornyak},
title = {DeWitt--Seeley--Gilkey coefficients for nonminimal differential operators in curved space},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {649--674},
publisher = {mathdoc},
volume = {5},
number = {3},
year = {1999},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a1/ %G ru %F FPM_1999_5_3_a1
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/