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This article is cited in 6 scientific papers (total in 6 papers)
Canonical flow in the space of gauge parameters
A. Quadriab a INFN — National Institute of Nuclear Physics, Sezione di Milano, Milan, Italy
b Physical Department, University of Milan, Milan, Italy
Abstract:
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.
Received: 11.06.2014
Citation:
A. Quadri, “Canonical flow in the space of gauge parameters”, TMF, 182:1 (2015), 91–102; Theoret. and Math. Phys., 182:1 (2015), 74–82
Linking options:
https://www.mathnet.ru/eng/tmf8730https://doi.org/10.4213/tmf8730 https://www.mathnet.ru/eng/tmf/v182/i1/p91
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Abstract page: | 287 | Full-text PDF : | 130 | References: | 43 | First page: | 10 |
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