A NEW ALGORITHM FOR ASYMPTOTIC HEAT KERNEL-EXPANSION FOR MANIFOLDS WITH BOUNDARY

被引：29

作者：

COGNOLA, G ^{[1
]}

VANZO, L ^{[1
]}

ZERBINI, S ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,GRP COLLEGATO TRENTO,TRENT,ITALY

来源：

PHYSICS LETTERS B | 1990年 / 241卷 / 03期

关键词：

D O I：

10.1016/0370-2693(90)91660-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new algorithm for the computation of the coefficients of the heat kernel expansion, associated with a second-order non-negative elliptic-symmetric differential operator, defined on an N-dimensional compact riemannian manifold with boundary is presented. Some coefficients are explicitly derived. Using zeta function regularization, an explicit form for the expectation value of the matter stress tensor is given. Corrections to a class of anomalies, due to the presence of the boundary, are found. © 1990.

引用

页码：381 / 386

页数：6

共 30 条

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[Anonymous], 1965, DYNAMICAL THEORY GRO

[2] DISTRIBUTION OF EIGENFREQUENCIES FOR WAVE EQUATION IN A FINITE DOMAIN .1. 3-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE [J].