TY  - JOUR
AU  - Maluf, R. V.
AU  - Olmo, G. J.
PY  - 2023
DA  - 2023//
TI  - Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 095022
EP  - 13pp
VL  - 108
IS  - 9
PB  - Amer Physical Soc
AB  - 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.
SN  - 2470-0010
UR  - https://arxiv.org/abs/2306.14309
UR  - https://doi.org/10.1103/PhysRevD.108.095022
DO  - 10.1103/PhysRevD.108.095022
LA  - English
N1  - WOS:001111823400003
ID  - Maluf+Olmo2023
ER  -