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

Abstract

In this paper, the effective potential approach in quantum field theory is used in order to investigate self-interaction loop correction to the Casimir energy density and generation of topological mass for both massless and massive real scalar fields. It is assumed that the scalar field obeys a helix boundary condition. In addition, it is also considered a CPT-even aether-type violation of the Lorentz symmetry. In the absence of the Lorentz violation, we obtain analytical expressions for the loop correction to the Casimir energy density and to the mass of the scalar field. The same expressions are also obtained assuming the Lorentz violation in each of the spacetime directions. We also show some graphs that exhibit how the loop correction and the Lorentz violation affect the Casimir energy density and the mass of the scalar field.

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

“…It is important to note that the Casimir energy and its radiative correction for a massive and massless scalar field obeying helical boundary conditions in 3 + 1 dimensions were documented in Ref. [41]. In this context, we generalize our investigation to compute the leading order and its thermal correction to the Casimir energy for Lorentz-violated massive/massless scalar fields with helical boundary conditions in d + 1 space-time dimensions.…”

“…Another distinction in our computation of the radiative correction to the Casimir energy compared to those documented in Ref. [41] lies in the type of counterterm utilized. We employ the self-consistent renormalization program, which enables the derivation of counterterms consistent with the imposed boundary conditions, leading to counterterms that are position-dependent.…”

Ribonucleic acid genome mutations induced by the Casimir effect

“…For this, we took into account the non-trivial topology associated to the helical structure of the viral RNA strand. We have shown that this can be made by considering suited boundary conditions of the physical field involved in the problem as well as its quantum vacuum fluctuations, in accordance with Feng and Li, 2020 , Aleixo and Mota, 2021 and Farias Junior and Santana Mota (2022) .…”

“…In this work, we compute the Casimir energy stored in the genome cylindrical-like segment corresponding to a helical pitch of the RNA molecule, then particularize the calculations to the SARS-CoV-2. For this, we will initially consider the quantum vacuum fluctuations of a scalar field under helix boundary conditions, in accordance with Feng and Li, 2020 , Aleixo and Mota, 2021 and Farias Junior and Santana Mota (2022) , extending the results to an electromagnetic field. In this context, in order to consider the most realistic situation, in our investigation we considered the UV-A and -C radiations as the threshold energy, since UV, during the day, is abundantly provided by the sun.…”

Bosonic Casimir Effect in an Aether-like Lorentz-Violating Scenario with Higher Order Derivatives

“…The analyses of the Casimir energy and topological mass associated with a massive scalar field in the LV scenario were considered in Refs. [31,32].…”