Quantization of non-Abelian gauge fields beyond the perturbation theory framework
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 200-205
Cet article a éte moissonné depuis la source Math-Net.Ru
We propose a new procedure for quantizing gauge fields that allows avoiding Gribov ambiguities and is therefore applicable outside the perturbation theory framework. We use this procedure to construct a gauge-invariant infrared regularization of the Yang–Mills theory.
Keywords:
gauge field, perturbation theory, infrared divergence.
@article{TMF_2014_181_1_a9,
author = {A. A. Slavnov},
title = {Quantization of {non-Abelian} gauge fields beyond the~perturbation theory framework},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {200--205},
year = {2014},
volume = {181},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a9/}
}
A. A. Slavnov. Quantization of non-Abelian gauge fields beyond the perturbation theory framework. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 200-205. http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a9/
[1] L. D. Faddeev, V. N. Popov, Phys. Lett. B, 25:1 (1967), 29–30 | DOI
[2] B. S. DeWitt, Phys. Rev., 160:5 (1967), 1113–1148 ; 162:5 (1962), 1195–1239 | DOI | Zbl | DOI
[3] V. N. Gribov, Nucl. Phys. B, 139:1–2 (1978), 1–19 | DOI | MR
[4] I. Singer, Commun. Math. Phys., 60:1 (1978), 7–12 | DOI | MR | Zbl
[5] D. Zwanziger, Nucl. Phys. B, 321:3 (1989), 591–604 | DOI | MR
[6] A. A. Slavnov, L. D. Faddeev, TMF, 3:1 (1970), 18–23 | DOI
[7] A. A. Slavnov, JHEP, 08 (2008), 047, 11 pp. | DOI | MR
[8] A. A. Slavnov, TMF, 161:2 (2009), 204–211 | DOI | DOI | MR | Zbl
[9] A. Quadri, A. A. Slavnov, JHEP, 07 (2010), 087, 22 pp. | DOI | MR