Quantum vacuum fluctuations and the principle of virtual work in inhomogeneous backgrounds

• URL: http://arxiv.org/abs/2110.14692v1
• Date: Wed, 27 Oct 2021 18:17:58 GMT
• Title: Quantum vacuum fluctuations and the principle of virtual work in inhomogeneous backgrounds
• Authors: S. A. Franchino-Vi\~nas, M. N. Manti\~nan, F. D. Mazzitelli
• Abstract summary: We discuss several aspects of the stress-energy tensor for a quantum scalar field in an inhomogeneous background. Using a perturbative approach, dimensional regularization and adiabatic subtraction, we present all-order formal expressions for the stress-energy tensor.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discuss several aspects of the stress-energy tensor for a quantum scalar field in an inhomogeneous background, the latter being modeled by a variable mass. Using a perturbative approach, dimensional regularization and adiabatic subtraction, we present all-order formal expressions for the stress-energy tensor. Importantly, we provide an explicit proof of the principle of virtual work for Casimir forces, taking advantage of the conservation law for the renormalized stress-energy tensor. We discuss also discontinuity-induced divergences. For the particular case of planar inhomogeneities, we corroborate the perturbative results with a WKB-inspired expansion.

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