Lorentz violation and the proper-time method
T. Mariz, J. R. Nascimento, A. Yu. Petrov, L. Y. Santos, A. J. da, Silva
TL;DR
This paper uses the proper-time method to derive Lorentz-violating Chern-Simons terms in Yang-Mills and gravity theories, highlighting their finiteness and regularization dependence.
Contribution
It introduces a novel application of the proper-time method to generate Lorentz-violating terms in gauge and gravity theories, emphasizing their regularization sensitivity.
Findings
Chern-Simons coefficients are finite
Coefficients depend on regularization scheme
Method applicable to Yang-Mills and gravity theories
Abstract
In this paper, we apply the proper-time method to generate the Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and non-linearized gravity theories. It is shown that the coefficient of the induced Chern-Simons term is finite but regularization dependent.
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