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

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arxiv 2005.09513 v3 pith:ZLOVMBY5 submitted 2020-05-19 hep-th

M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota This is my paper · ORCID
classification hep-th
keywords lorentzmassscalartopologicalviolationcasimirenergyfield
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Casimir effect in Pleba\'nski nonlinear electrodynamics with spontaneously Lorentz-breaking magnetic vacua

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    The regular-sector Casimir energy diverges as a magnetic background approaches a degenerate Lorentz-breaking vacuum, but the divergence is an artifact: the extraordinary mode vanishes when the degenerate condition is ...

  2. Casimir effect for a massive scalar field confined between parallel plates with a spatially varying effective mass

    hep-th 2026-07 reject novelty 5.0 of 10

    A claimed exact Casimir energy for a scalar field with a quadratic position-dependent mass is derived, but the conversion from continuum to discrete transverse modes uses an unproven Landau-style measure.

  3. One-Loop Correction to the Casimir Energy in Lorentz-Violating $\phi^4$ Theory with Rough Membrane Boundaries

    hep-th 2025-01 reject novelty 5.0 of 10

    The one-loop Casimir energy for a Lorentz-violating scalar field between rough membranes is claimed to equal the smooth-plate result at a rescaled separation, but the periodic-boundary sector is off by a factor of eight.

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