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arXiv · 1112.0469

Energy-momentum tensors with worldline numerics

Marco Schäfer·Idrish Huet·Holger Gies
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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.

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Marco Schäfer, Idrish Huet, Holger Gies. 2011-12-02. Energy-momentum tensors with worldline numerics. https://doi.org/10.1142/s2010194512007647

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