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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 1, Pages 37–45
DOI: https://doi.org/10.4213/tmf6417 (Mi tmf6417) 		 
This article is cited in 3 scientific papers (total in 3 papers)

One-loop counterterms in the Yang–Mills theory with a gauge-invariant ghost field Lagrangian

R. N. Baranov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (457 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6417
Abstract: We calculate the one-loop renormalization constants Z1 and Z2 in the model with a gauge-invariant ghost field Lagrangian. We show that the model is asymptotically free and that the renormalization constants satisfy the same equation as in the ordinary Yang–Mills theory.
Keywords: gauge invariance, Yang–Mills theory, perturbation theory, one-loop counterterm.
Received: 05.02.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 1, Pages 1353–1360
DOI: https://doi.org/10.1007/s11232-009-0121-4
Bibliographic databases:
Language: Russian
Citation: R. N. Baranov, “One-loop counterterms in the Yang–Mills theory with a gauge-invariant ghost field Lagrangian”, TMF, 161:1 (2009), 37–45; Theoret. and Math. Phys., 161:1 (2009), 1353–1360
Citation in format AMSBIB
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\paper One-loop counterterms in the~Yang--Mills theory with a~gauge-invariant ghost field Lagrangian
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\pages 37--45
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\zmath{https://zbmath.org/?q=an:1184.81096}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...161.1353B}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 1
\pages 1353--1360
\crossref{https://doi.org/10.1007/s11232-009-0121-4}
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Linking options:
  • https://www.mathnet.ru/eng/tmf6417
  • https://doi.org/10.4213/tmf6417
  • https://www.mathnet.ru/eng/tmf/v161/i1/p37
    • This publication is cited in the following 3 articles:
    1. P. S. Anisimov, “One-loop calculation of the $\beta$-function in the modified formulation of the Yang–Mills theory”, Theoret. and Math. Phys., 180:3 (2014), 1005–1018  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. Quadri A., Slavnov A.A., “Renormalization of the Yang-Mills theory in the ambiguity-free gauge”, J. High Energy Phys., 2010, no. 7, 087, 22 pp.  crossref  mathscinet  zmath  isi  elib  scopus
    3. A. A. Slavnov, “Lorentz-invariant quantization of the Yang–Mills theory free of the Gribov ambiguity”, Theoret. and Math. Phys., 161:2 (2009), 1497–1502  mathnet  crossref  crossref  mathscinet  zmath  isi
    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:50
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