Document Type
Article
Abstract
The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz-violation parameters, and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters.
Digital Object Identifier (DOI)
Publication Info
Published in Physical Review D, Volume 107, Issue 4, 2023.
Rights
© Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
APA Citation
Altschul, B., Brito, L. C. T, Felipe, J. C. C, Karki, S., A. C. Lehum, & Petrov, A. Y. (2023). Three- and four-point functions in CPT -even Lorentz-violating scalar QED. Physical Review. D/Physical Review. D., 107(4). https://doi.org/10.1103/PhysRevD.107.045005