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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 1, Pages 91–102
DOI: https://doi.org/10.4213/tmf8730
(Mi tmf8730)
 

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
Full-text PDF (378 kB) Citations (6)
References:
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
English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 1, Pages 74–82
DOI: https://doi.org/10.1007/s11232-015-0246-6
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8730
  • https://doi.org/10.4213/tmf8730
  • https://www.mathnet.ru/eng/tmf/v182/i1/p91
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:285
    Full-text PDF :130
    References:42
    First page:10
     
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