Worldline numerics for energy-momentum tensors in Casimir geometries

被引：8

作者：

Schaefer, Marco ^{[1
]}

Huet, Idrish ^{[1
,2
]}

Gies, Holger ^{[1
,3
]}

机构：

[1] Univ Jena, Theoret Phys Inst, Abbe Ctr Photon, Max Wien Pl 1, D-07743 Jena, Germany

[2] Univ Autonoma Chiapas, Fac Ciencias Fis & Matemat, Ciudad Univ, Tuxtla Gutierrez 29050, Mexico

[3] Helmholtz Inst Jena, Frobelstieg 3, D-07743 Jena, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 13期

关键词：

Casimir effect; worldline formalism; energy-momentum tensor; GRAVITATIONAL VACUUM; PARALLEL MIRRORS; QUANTUM VACUUM; POLARIZATION; LIGHT; WORMHOLES; FASTER; FIELDS; TRAVEL; LOOPS;

D O I：

10.1088/1751-8113/49/13/135402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop the worldline formalism for computations of composite operators such as the fluctuation induced energy-momentum tensor. As an example, we use a fluctuating real scalar field subject to Dirichlet boundary conditions. The resulting worldline representation can be evaluated by worldline Monte-Carlo methods in continuous spacetime. We benchmark this worldline numerical algorithm with the aid of analytically accessible single-plate and parallel-plate Casimir configurations, providing a detailed analysis of statistical and systematic errors. The method generalizes straightforwardly to arbitrary Casimir geometries and general background potentials.

引用

页数：27

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