CASIMIR EFFECT IN A D-DIMENSIONAL FLAT SPACE-TIME AND THE CUTOFF METHOD

被引：55

作者：

SVAITER, NF

SVAITER, BF

机构：

[1] Centro Brasileiro de Pesquisas Fisicas - CBPF, 22290 - Rio de Janeiro, RJ, Rua Dr. Xavier Sigaud

[2] Instituto de Matemática Pura e Aplicada - IMPA, Rio de Janeiro

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 01期

关键词：

D O I：

10.1063/1.529141

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Casimir effect in a D-dimensional space time produced by a Hermitian massless scalar field in the presence of a pair of perfectly reflecting parallel flat plates is discussed. The exponential cut-off regularization method is employed. The regularized vacuum energy and the Casimir energy of this field are evaluated and a detailed analysis of the divergent terms in the regularized vacuum energy is carried out. The two-dimensional version of the Casimir effect is discussed by means of the same cut-off method. A comparison between the above method and the zeta function regularization procedure is presented in a way that gives the unification between these methods in the present case.

引用

页码：175 / 180

页数：6

共 13 条

[1]

ABMJORN J, 1983, ANN PHYS, V147, P1

[2] QUANTUM ZERO-POINT ENERGY AND LONG-RANGE FORCES [J].

BOYER, TH .

ANNALS OF PHYSICS, 1970, 56 (02) :474-&

[3]

Casimir H.B.G., 1948, PROC KON NED AKAD WE, V51, P793

[4] CASIMIR SELF-STRESS ON A PERFECTLY CONDUCTING CYLINDRICAL-SHELL [J].

DERAAD, LL ;

MILTON, KA .

ANNALS OF PHYSICS, 1981, 136 (02) :229-242

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

DEUTSCH, D ;

CANDELAS, P .

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

[6] CASIMIR EFFECTS IN TORI AND PAIRS OF PLATES [J].

ELIZALDE, E .

PHYSICS LETTERS B, 1988, 213 (04) :477-481

[7]

Fierz M., 1960, HELV PHYS ACTA, V33, P855

[8]

HAWKING SW, 1977, COMMUN MATH PHYS, V55, P149

[9] CASIMIR SELF-STRESS ON A PERFECTLY CONDUCTING SPHERICAL-SHELL [J].

MILTON, KA ;

DERAAD, LL ;

SCHWINGER, J .

ANNALS OF PHYSICS, 1978, 115 (02) :388-403

[10]

Ruggiero J. R., 1977, Revista Brasileira de Fisica, V7, P663

← 1 2 →