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

M. B. Cruz1,*, E. R. Bezerra de Mello2,†, and H. F. Santana Mota2,‡

  • 1Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 882, 58428-830 Campina Grande, Paraíba, Brazil
  • 2Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil

  • *messiasdebritocruz@gmail.com
  • †emello@fisica.ufpb.br
  • ‡hmota@fisica.ufpb.br
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Phys. Rev. D 102, 045006 – Published 6 August, 2020

DOI: https://doi.org/10.1103/PhysRevD.102.045006

Abstract

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with 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 find the effective potential at one- and two-loop corrections, which provides both the energy density and the topological mass when taken in the ground state of the scalar field. We then analyze how these quantities are affected by the Lorentz symmetry violation and compare the results with previous ones found in literature.

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Phys. Rev. D 102, 045006– Published 6 August, 2020
  • Received 23 May 2020
  • Revised 19 July 2020
  • Accepted 23 July 2020
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