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{\textendash}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},
year = {2009},
volume = {161},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a2/}
}
TY - JOUR AU - R. N. Baranov TI - One-loop counterterms in the Yang–Mills theory with a gauge-invariant ghost field Lagrangian JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 37 EP - 45 VL - 161 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_2009_161_1_a2/ LA - ru ID - TMF_2009_161_1_a2 ER -
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/