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arxiv: 1112.0469 · v1 · pith:VICKIEO3new · submitted 2011-12-02 · ✦ hep-th · hep-ph· quant-ph

Energy-momentum tensors with worldline numerics

classification ✦ hep-th hep-phquant-ph
keywords energy-momentumnumericalworldlineevaluationtensorsaccessibleanalyticalapplied
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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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