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- W4386770330 abstract "The renormalizable extension of a pure Yang-Mills theory with Lorentz violation is characterized by the $CPT$-Even $({k}_{F}{)}_{ensuremath{mu}ensuremath{nu}ensuremath{lambda}ensuremath{rho}}$ and the $CPT$-Odd $({k}_{AF}{)}_{ensuremath{mu}}$ constant Lorentz coefficients. In this paper, the one-loop structure of the theory up to second order in these Lorentz violating coefficients is studied using the background field method gauge. Results for the diverse beta functions are derived and contrasted with those given in the literature at first order in these parameters. Special emphasis is put on the beta function $ensuremath{beta}(g)$, which is studied in both mass-independent and mass-dependent renormalization schemes. It is found that in a mass-independent scheme the $({k}_{AF}{)}_{ensuremath{mu}}$ Lorentz coefficient does not contribute to the $ensuremath{beta}(g)$ function, but it does in a mass-dependent scheme with contributions that are gauge dependent and IR divergent." @default.
- W4386770330 created "2023-09-16" @default.
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- W4386770330 date "2023-09-15" @default.
- W4386770330 modified "2023-09-26" @default.
- W4386770330 title "Vacuum polarization in Yang-Mills theories with Lorentz violation" @default.
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- W4386770330 doi "https://doi.org/10.1103/physrevd.108.055017" @default.
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