Geodesic
One-loop counterterms in the~Yang--Mills theory with a~gauge-invariant ghost field Lagrangian
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 37-45

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We calculate the one-loop renormalization constants $Z_1$ and $Z_2$ in the model with a gauge-invariant ghost field Lagrangian. We show that the model is asymptotically free and that the renormalization constants satisfy the same equation as in the ordinary Yang–Mills theory.
Keywords: gauge invariance, Yang–Mills theory, perturbation theory, one-loop counterterm. 
@article{TMF_2009_161_1_a2,
     author = {R. N. Baranov},
     title = {One-loop counterterms in {the~Yang--Mills} theory with a~gauge-invariant ghost field {Lagrangian}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {37--45},
     publisher = {mathdoc},
     volume = {161},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a2/}
}
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R. N. Baranov. One-loop counterterms in the~Yang--Mills theory with a~gauge-invariant ghost field Lagrangian. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 1, pp. 37-45. http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a2/