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Radiative correction to the Casimir energy for Lorentz-violating scalar field in d + 1 dimensions

Valuyan, M. A

Modern physics letters A, 2020-06, Vol.35 (18), p.2050149 [Periódico revisado por pares]

Singapore: World Scientific Publishing Company

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  • Título:
    Radiative correction to the Casimir energy for Lorentz-violating scalar field in d + 1 dimensions
  • Autor: Valuyan, M. A
  • Assuntos: Boundary conditions ; Dirichlet problem ; Flux density ; Mathematical analysis ; Parallel plates ; Regularization ; Scalars ; Subtraction ; Yang-Mills theory
  • É parte de: Modern physics letters A, 2020-06, Vol.35 (18), p.2050149
  • Descrição: The renormalization program in every renormalized theory should run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form. In this study, using such counterterms, we calculated the radiative correction to the Casimir energy for massive and massless Lorentz-violating scalar field constrained with Dirichlet boundary condition between two parallel plates in d spatial dimensions. In the calculation procedure, to remove infinities appearing in the vacuum energies, the box subtraction scheme (BSS) supplemented by the cutoff regularization technique and analytic continuation technique was employed. Normally, in the BSS, two similar configurations are defined and their vacuum energies are subtracted from each other in the appropriate limits. Our final results regarding all spatial dimensions were convergent and consistent with the expected physical basis. We further plotted the Casimir energy density for the time-like and space-like Lorentz-violating systems in a number of odd and even dimensions; multiple aspects of the obtained results were ultimately discussed.
  • Editor: Singapore: World Scientific Publishing Company
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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