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arXiv · 1509.03509

Worldline Numerics for Energy-Momentum Tensors in Casimir Geometries

Marco Schafer·Idrish Huet·Holger Gies
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Abstract

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.

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Marco Schafer, Idrish Huet, Holger Gies. 2015-09-11. Worldline Numerics for Energy-Momentum Tensors in Casimir Geometries. https://arxiv.org/abs/1509.03509

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