Complete Computation of DeWitt-Seeley-Gilkey Coefficient E_4 for Nonminimal Operator on Curved Manifolds

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 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.

23 pages, LaTeX, the result is presented in a more compact form

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