中国物理B ›› 1994, Vol. 3 ›› Issue (9): 641-652.doi: 10.1088/1004-423X/3/9/001

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A NEW DIRECT METHOD FOR HEAT KERNEL EXPANSION IN CURVED SPACE AND THE RESUMMED FORM OF NONDERIVATIVE TERM

许殿彦   

  1. Department of Computer Science and Technology, Peking University, Beijing 100871, China
  • 收稿日期:1993-07-17 出版日期:1994-09-20 发布日期:1994-09-20

A NEW DIRECT METHOD FOR HEAT KERNEL EXPANSION IN CURVED SPACE AND THE RESUMMED FORM OF NONDERIVATIVE TERM

XU DIAN-YAN (许殿彦)   

  1. Department of Computer Science and Technology, Peking University, Beijing 100871, China
  • Received:1993-07-17 Online:1994-09-20 Published:1994-09-20

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摘要： A new method is proposed for heat kernel expansion in curved space, without using the recursion relation. The existence of the resummed form of nonderivative terms arising out of X from the operator A =-□+ X is proved. The De Witt-Seeley-Gilkey coefficients E2(x) and E4(x) are derived.

Abstract: A new method is proposed for heat kernel expansion in curved space, without using the recursion relation. The existence of the resummed form of nonderivative terms arising out of X from the operator A =-□+ X is proved. The De Witt-Seeley-Gilkey coefficients E2(x) and E4(x) are derived.

中图分类号:  (Quantum fields in curved spacetime)

  • 04.62.+v
02.30.Tb (Operator theory) 02.30.Mv (Approximations and expansions)