Polarization of vacuum with nontrivial boundary conditions

被引：1

作者：

Khusnutdinov, N. R. ^{[1
]}

Khabibullin, A. R. ^{[2
]}

机构：

[1] Kazan Volga Reg Fed Univ, Kazan, Russia

[2] Tatar State Univ Humanities & Educ, Kazan, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 166卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

polarization of vacuum; Casimir effect; zeta function; quantum field theory; HEAT KERNEL-EXPANSION; MASSIVE SCALAR FIELD; CASIMIR ENERGIES;

D O I：

10.1007/s11232-011-0006-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the framework of the zeta-regularization approach, we consider the polarization of the scalar field vacuum with nontrivial boundary conditions originating from electrodynamics in the presence of a conducting infinitely thin boundary layer. Boundary conditions of the first type correspond to the case where the field is continuous on the boundary while its derivative has a jump proportional to the boundary value of the field. Boundary conditions of the second type correspond to the case where the field derivative is continuous on the boundary but the field itself has a jump proportional to the field derivative on the boundary. We explicitly obtain the zeta function of the scalar field Laplace operator with the above boundary conditions and calculate all the heat kernel coefficients. We obtain an expression for the energy of the scalar field vacuum fluctuations.

引用

页码：66 / 80

页数：15