Proceedings of the 10th Quantum Field Theory Under the Influence of External Conditions (QFEXT11); Editors: M. Asorey, M. Bordag, E. ElizaldeOpen Access

ENERGY-MOMENTUM TENSORS WITH WORLDLINE NUMERICS

MARCO SCHÄFER

Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

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IDRISH HUET

Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany

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HOLGER GIES

Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

Helmholtz Institute Jena, Fröbelstieg 3, D-07743 Jena, Germany

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https://doi.org/10.1142/S2010194512007647Cited by:6 (Source: Crossref)

Abstract

We apply the worldline formalism and its numerical Monte-Carlo approach to computations of fluctuation induced energy-momentum tensors. For the case of a fluctuating Dirichlet scalar, we derive explicit worldline expressions for the components of the canonical energy-momentum tensor that are straightforwardly accessible to partly analytical and generally numerical evaluation. We present several simple proof-of-principle examples, demonstrating that efficient numerical evaluation is possible at low cost. Our methods can be applied to an investigation of positive-energy conditions.

Keywords:

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