arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv math/9909145math.NAcs.NAmath-phmath.MP
收藏

弯曲流形上非最小算子的DeWitt-Seeley-Gilkey系数E_4的完整计算

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

Valery P. Gusynin, Vladimir V. Kornyak

AI总结:

本文首次完整计算了弯曲流形上非最小微分算子在规范场存在下的热核展开第四系数E_4,适用于任意维数n及n=4情形,计算通过C程序在PC上完成。

摘要:

考虑了存在规范场时弯曲流形上非最小微分算子的渐近热核展开。首次给出了此类算子热核展开中第四系数E_4的完整表达式。这些表达式是针对任意维数n的流形的一般情形以及最重要的n=4情形计算的。计算是在PC上借助用C语言编写的程序完成的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑