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.
Highlights
Nowadays, there is a consensus that the Standard Model of elementary particles is a low-energy effective theory for a more fundamental model
There is a consensus that the Standard Model of elementary particles is a low-energy effective theory for a more fundamental model. The search for this fundamental theory encompasses the study of Standard Model extensions that show physical meaning and whose low-energy limits respect the known experimental results
We carried out a study of the one-loop corrections to the minimal extended QED up to second order in the Lorentz violation parameters
Summary
There is a consensus that the Standard Model of elementary particles is a low-energy effective theory for a more fundamental model. Many papers were dedicated to the investigation of the quantum corrections to the minimal extended QED action with interesting results and discussions, as in the case of the ambiguity of the induced CFJ term. These discussions were held almost always up to the first order in the Lorentzbreaking parameters. We carry out the renormalization of the fermionic sector of the model up to the second order in Lorentz violation parameters and investigate the role of the different background tensors in the beta functions.
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