%0 Journal Article
%T Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
%A Maluf, R. V.
%A Olmo, G. J.
%J Physical Review D
%D 2023
%V 108
%N 9
%I Amer Physical Soc
%@ 2470-0010
%G English
%F Maluf+Olmo2023
%O WOS:001111823400003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5863), last updated on Mon, 08 Jan 2024 08:25:15 +0000
%X This work investigates the implications of very special relativity (VSR) on the calculation of vacuum polarization for fermions in the presence of Maxwell and Kalb-Ramond gauge fields in four-dimensional spacetime. We derive the SIM(2)-covariant gauge theory associated with an Abelian antisymmetric twotensor and its corresponding field strength. We demonstrate that the free VSR-Kalb-Ramond electrodynamics is equivalent to a massive scalar field with a single polarization. Furthermore, we determine an explicit expression for the effective action involving Maxwell and Kalb-Ramond fields due to fermionic vacuum polarization at one-loop order. The quantum corrections generate divergences free of nonlocal terms only in the VSR-Maxwell sector. At the same time, we observe UV/IR mixing divergences due to the entanglement of VSR-nonlocal effects with quantum higher-derivative terms for the Kalb-Ramond field. However, in the lower energy limit, the effective action can be renormalized like in the Lorentz invariant case.
%R 10.1103/PhysRevD.108.095022
%U https://arxiv.org/abs/2306.14309
%U https://doi.org/10.1103/PhysRevD.108.095022
%P 095022-13pp