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Acta Physica Sinica (Overseas Edition), 1994, Vol. 3(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

XU DIAN-YAN (许殿彦)
Department of Computer Science and Technology, Peking University, Beijing 100871, China
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.
Received:  17 July 1993      Accepted manuscript online: 
PACS:  04.62.+v (Quantum fields in curved spacetime)  
  02.30.Tb (Operator theory)  
  02.30.Mv (Approximations and expansions)  

Cite this article: 

XU DIAN-YAN (许殿彦) A NEW DIRECT METHOD FOR HEAT KERNEL EXPANSION IN CURVED SPACE AND THE RESUMMED FORM OF NONDERIVATIVE TERM 1994 Acta Physica Sinica (Overseas Edition) 3 641

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