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.
Highlights
The Casimir effect was predicted by H
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
II, we briefly describe the theoretical model that we want to investigate, which consists of a self-interacting massive scalar field in a CPT-even aether-type Lorentz symmetry violation approach
Summary
The Casimir effect was predicted by H. [30], in the present work, we study the loop expansions to the Casimir energy and generation of topological mass for selfinteracting massive and massless scalar fields subject to Dirichlet, Newman, and mixed boundary conditions in the context of a CPT-even aether-type Lorentz symmetry violation model [32,33,34]. We calculate the one- and two-loop radiative corrections to the Casimir energy and the generation of topological mass, admitting that the scalar field obeys Dirichlet, Newman, and mixed boundary conditions on two large and parallel plates. Because these calculations are divergent, we adopt the Riemann zeta-function renormalization procedure to provide finite and well-defined results. Throughout the paper, we use natural units ħ 1⁄4 c 1⁄4 1 and the metric signature ð−; þ; þ; þÞ
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