Energy-momentum tensors with worldline numerics

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.

10 pages, 3 figures, Contribution to QFEXT11

References in corpus (7)

• Worldline algorithms for Casimir configurations
• Casimir edge effects
• Recent Developments in the Casimir Effect
• Interplay between geometry and temperature for inclined Casimir plates
• How does Casimir energy fall? III. Inertial forces on vacuum energy
• Worldline Approach To The Casimir Effect
• Casimir Forces via Worldline Numerics: Method Improvements and Potential Engineering Applications

Cited by in corpus (5)

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• Worldline formalism for a confined scalar field
• Worldline approach for numerical computation of electromagnetic Casimir energies. I. Scalar field coupled to magnetodielectric media
• Monte Carlo generation of localised particle trajectories
• From Special Relativity to embedded generators in Cartan subalgebras of rank-4 spin algebras