Casimir energy and topological mass for a massive scalar field with Lorentz violation

Abstract

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed boundary conditions on two large and parallel plates. By adopting the path integral approach we found the effective potential at one- and two-loop corrections which provides both the energy density and topological mass when taken in the ground state of the scalar field. We then analyse how these quantities are affected by the Lorentz symmetry violation and compare the results with previous ones found in literature.

34 pages, 9 figures, accepted for publication in Physical Review D

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Cited by in corpus (6)

• The Lorentz-violating real scalar field at thermal equilibrium
• Loop correction to the scalar Casimir energy density and generation of topological mass due to a helix boundary condition in a scenario with Lorentz violation
• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Casimir effect, loop corrections and topological mass generation for interacting real and complex scalar fields in Minkowski spacetime with different conditions
• One-Loop Correction to the Casimir Energy in Lorentz-Violating ${\varphi }^4$ Theory with Rough Membrane Boundaries