Energy-momentum tensors with worldline numerics

Details Energy-momentum tensors with worldline numerics Energy-momentum tensors with worldline numerics

2011-12-02

arxiv.org/abs/1112.0469v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures, Contribution to QFEXT11

Scientific paper

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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