Solution to the $\beta$-functions in Lorentz-violating theories as a decomposition into irreducible representations

@article{Ferrero2015SolutionTT,
  title={Solution to the \$\beta\$-functions in Lorentz-violating theories as a decomposition into irreducible representations},
  author={Alejandro Ferrero},
  journal={Physical Review D},
  year={2015},
  volume={91},
  pages={125012}
}
  • A. Ferrero
  • Published 25 February 2015
  • Mathematics
  • Physical Review D
We analyze the $\ensuremath{\beta}$-functions of Yukawa and electromagnetic theories with Lorentz violation (LV) and propose an alternative method to find the scale dependence of the different fields that parametrize such violations. The method of solution consists of decomposing a family of parameters into their irreducible representations and thus generating a group of subfamilies that obey the same symmetries and transformation rules. The convenience of this method relies on the fact that… 
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