THE CASIMIR EFFECT FOR A CLASS OF HYPERBOLIC (D+1)-DIMENSIONAL SPACETIMES

被引：13

作者：

BYTSENKO, AA ^{[1
]}

ZERBINI, S ^{[1
]}

机构：

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

来源：

CLASSICAL AND QUANTUM GRAVITY | 1992年 / 9卷 / 05期

关键词：

D O I：

10.1088/0264-9381/9/5/017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The vacuum energy for a free massless scalar field defined on an ultrastatic (D + 1)-dimensional spacetime R x H(D)/GAMMA, GAMMA being a torsion-free subgroup of isometries of D-dimensional Lobachevsky space H(D), is explicitly computed using the Harish-Chandra-Selberg trace formula. All topologically inequivalent configurations of scalar fields are taken into account. As a result, a negative topological vacuum energy is found for trivial line bundle related to character chi = 1.

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页码：1365 / 1370

页数：6

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