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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)
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DOI: https://doi.org/10.4213/tmf8730
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:
    1. Dall'Olio P., De Meerleer T., Dudal D., Sorella S.P., Bashir A., “Landau-Khalatnikov-Fradkin Transformations For the Two Loop Massless Quark Propagator”, Nucl. Phys. B, 973 (2021), 115606  crossref  mathscinet  isi
    2. T. De Meerleer, D. Dudal, S. P. Sorella, P. Dall'Olio, A. Bashir, “Landau-khalatnikov-fradkin transformations, nielsen identities, their equivalence, and implications for qcd”, Phys. Rev. D, 101:8 (2020), 085005  crossref  mathscinet  isi  scopus
    3. Anselmi D., “Some Reference Formulas For the Generating Functions of Canonical Transformations”, Eur. Phys. J. C, 76:2 (2016), 49  crossref  mathscinet  adsnasa  isi  scopus
    4. Upadhyay S., “Ward Identities and Gauge Flow For M-Theory in N=3 Superspace”, Phys. Rev. D, 92:6 (2015), 065027  crossref  mathscinet  adsnasa  isi  scopus
    5. Anselmi D., “Ward Identities and Gauge Independence in General Chiral Gauge Theories”, Phys. Rev. D, 92:2 (2015), 025027  crossref  mathscinet  adsnasa  isi  elib  scopus
    6. Aguilar A.C., Binosi D., Papavassiliou J., “Yang-Mills Two-Point Functions in Linear Covariant Gauges”, Phys. Rev. D, 91:8 (2015), 085014  crossref  mathscinet  isi  scopus
    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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    References:48
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