Complete Computation of DeWitt-Seeley-Gilkey Coefficient E₄ for Nonminimal Operator on Curved Manifolds

1999/09/24 by Gusynin, Valery P., Kornyak, Vladimir V.
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/9909145

Abstract

Asymptotic heat kernel expansion for nonminimal differential operators on curved manifolds in the presence of gauge fields 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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