Higher-order one-loop renormalization in the spinor sector of minimal LV extended QED
L. C. T. Brito, J. C. C. Felipe, J. R. Nascimento, A. Yu Petrov, A., P. Ba\^eta Scarpelli

TL;DR
This paper investigates the one-loop renormalization in the spinor sector of minimal Lorentz-violating extended QED, revealing interdependencies among Lorentz-breaking terms and confirming Ward identities up to second order.
Contribution
It provides a detailed calculation of second-order Lorentz-breaking contributions and shows their implications for renormalizability and gauge symmetry in extended QED.
Findings
Lorentz-breaking terms are interconnected in the renormalization process.
Ward identities hold up to second order in Lorentz-breaking parameters.
The model remains renormalizable with certain Lorentz-violating terms included.
Abstract
We calculate contributions to the one-loop renormalization in the spinor sector of the minimal Lorentz-violating extended QED in the second order in Lorentz-breaking parameters. From the renormalizability viewpoint, we show that the inclusion of some of the Lorentz-breaking terms in the model is linked to the presence of others. We also demonstrate that the Ward identities are satisfied up to this order.
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