Geodesic
One-loop calculation of the $\beta$-function in the modified formulation of the Yang–Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 3, pp. 291-306
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In the one-loop approximation for the modified Yang–Mills theory, we calculate contributions to the two- and three-point Green's functions of the gauge field $A_\mu$, to the Green's function of the anticommuting fields $e$ and $b$, and to the vertex function $\Gamma_{Aeb}$. We find the renormalization constants $Z_1$ and $Z_2$ and the corresponding constants $\overline Z_1$ and $\overline Z_2$ for the anticommuting fields and show that they satisfy the same equation as in the standard Yang–Mills theory. We demonstrate that the $\beta$-functions in the standard and modified theories coincide.
Keywords: Yang–Mills theory, renormalization constant, one-loop approximation, $\beta$-function, gauge invariance. 
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     title = {One-loop calculation of the~$\beta$-function in the~modified formulation of {the~Yang{\textendash}Mills} theory},
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P. S. Anisimov. One-loop calculation of the $\beta$-function in the modified formulation of the Yang–Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 3, pp. 291-306. http://geodesic.mathdoc.fr/item/TMF_2014_180_3_a0/

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