Four-dimensional aether-like Lorentz-breaking QED revisited and problem of ambiguities
A. P. Baeta Scarpelli, T. Mariz, J. R. Nascimento, A. Yu. Petrov

TL;DR
This paper investigates the generation of Lorentz-breaking terms in extended QED, analyzing different approaches and addressing ambiguities in the theoretical predictions.
Contribution
It revisits the perturbative generation of aether-like Lorentz-breaking terms and discusses the ambiguities associated with different computational methods.
Findings
Identifies ambiguities in the perturbative calculations of Lorentz-breaking terms.
Compares different approaches to generate the CPT-even aether-like term.
Highlights unresolved issues in the theoretical consistency of Lorentz-breaking QED.
Abstract
In this paper, we consider the perturbative generation of the CPT-even aether-like Lorentz-breaking term in the extended Lorentz-breaking QED within different approaches and discuss its ambiguities.
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