REGULARIZATION DEPENDENCE OF VACUUM ENERGY IN ARBITRARILY SHAPED CAVITIES

被引：61

作者：

COGNOLA, G

VANZO, L

ZERBINI, S

机构：

[1] Dipartimento di Fisica, Universitá di Trento, Istituto Nazionale di Fisica Nucleare, Trento

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 01期

关键词：

D O I：

10.1063/1.529948

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The vacuum energy for a free scalar field in the case of an arbitrarily shaped cavity is discussed. A complete analysis of the divergences is presented and some regularization schemes are analyzed in some detail. The vacuum energy for a free scalar field defined on an ultrastatic three-dimensional space-time R X L, L being a compact Riemann surface of genus greater than unity, is explicitly computed using the Selberg trace formula. As a result, a negative vacuum energy is found.

引用

页码：222 / 228

页数：7

共 40 条

[1] PROPERTIES OF THE VACUUM .1. MECHANICAL AND THERMODYNAMIC [J].

AMBJORN, J ;

WOLFRAM, S .

ANNALS OF PHYSICS, 1983, 147 (01) :1-32

[2]

[Anonymous], 1996, TABLES INTEGRALS SER

[3] ELECTROMAGNETIC-WAVES NEAR PERFECT CONDUCTORS .2. CASIMIR EFFECT [J].

BALIAN, R ;

DUPLANTIER, B .

ANNALS OF PHYSICS, 1978, 112 (01) :165-208

[4] ZERO-POINT ENERGY OF FIELDS IN A FINITE VOLUME [J].

BENDER, CM ;

HAYS, P .

PHYSICAL REVIEW D, 1976, 14 (10) :2622-2632

[5]

Birrell N. D., 1982, Quantum fields in curved space

[6] ZETA-FUNCTIONS AND THE CASIMIR ENERGY [J].

BLAU, SK ;

VISSER, M ;

WIPF, A .

NUCLEAR PHYSICS B, 1988, 310 (01) :163-180

[7] QUANTUM ELECTROMAGNETIC ZERO-POINT ENERGY OF A CONDUCTING SPHERICAL SHELL AND CASIMIR MODEL FOR A CHARGED PARTICLE [J].

BOYER, TH .

PHYSICAL REVIEW, 1968, 174 (05) :1764-&

[8] THE ASYMPTOTICS OF THE LAPLACIAN ON A MANIFOLD WITH BOUNDARY [J].

BRANSON, TP ;

GILKEY, PB .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (02) :245-272

[9]

DEJHAL DA, 1876, SELBERG TRACE FORMUL, V1, P548

[10] BOUNDARY EFFECTS IN QUANTUM FIELD-THEORY [J].

DEUTSCH, D ;

CANDELAS, P .

PHYSICAL REVIEW D, 1979, 20 (12) :3063-3080

← 1 2 3 4 →