Geodesic
Canonical flow in the~space of gauge parameters
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 91-102

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We show that the gauge dependence of one-particle irreducible amplitudes in the $SU(N)$ Yang–Mills theory is generated by a canonical flow with respect to the extended Slavnov–Taylor identity induced by the transformation of the gauge parameter $\alpha$ under the BRST symmetry. For linear covariant gauges, the analytic expansion in $\alpha$ of one-particle irreducible amplitudes is given in terms of coefficients evaluated in the Landau gauge and of derivatives with respect to $\alpha$ of the generating functional of the flow. We consider an application to the gauge flow of the gluon propagator.
Keywords: Yang–Mills theory, BRST symmetry, renormalization, nonlinear sigma model. 
@article{TMF_2015_182_1_a4,
     author = {A. Quadri},
     title = {Canonical flow in the~space of gauge parameters},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {91--102},
     publisher = {mathdoc},
     volume = {182},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a4/}
}
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A. Quadri. Canonical flow in the~space of gauge parameters. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 91-102. http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a4/