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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 3, Pages 389–401
DOI: https://doi.org/10.4213/tmf881 (Mi tmf881) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Free energy of the two-dimensional U(n)-gauge field theory on the sphere

B. A. de Monvela, M. V. Shcherbinab

a Université Paris VII – Denis Diderot
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
Full-text PDF (243 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf881
Abstract: The partition function of the two-dimensional U(n)-gauge field theory in the limit n→∞ is rigorously derived. Recent studies in the theory of random matrices combined with the traditional tools of statistical mechanics were the stimuli for the methods used and the results obtained.
Received: 17.11.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 3, Pages 670–679
DOI: https://doi.org/10.1007/BF02575490
Bibliographic databases:
Language: Russian
Citation: B. A. de Monvel, M. V. Shcherbina, “Free energy of the two-dimensional U(n)-gauge field theory on the sphere”, TMF, 115:3 (1998), 389–401; Theoret. and Math. Phys., 115:3 (1998), 670–679
Citation in format AMSBIB
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\paper Free energy of the two-dimensional $U(n)$-gauge field theory on the sphere
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\issue 3
\pages 389--401
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\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 3
\pages 670--679
\crossref{https://doi.org/10.1007/BF02575490}
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Linking options:
  • https://www.mathnet.ru/eng/tmf881
  • https://doi.org/10.4213/tmf881
  • https://www.mathnet.ru/eng/tmf/v115/i3/p389
    • This publication is cited in the following 4 articles:
    1. Antoine Dahlqvist, Thibaut Lemoine, “Large N limit of Yang–Mills partition function and Wilson loops on compact surfaces”, Prob. Math. Phys., 4:4 (2023), 849  crossref
    2. Antoine Dahlqvist, James R. Norris, “Yang–Mills Measure and the Master Field on the Sphere”, Commun. Math. Phys., 377:2 (2020), 1163  crossref
    3. Hall B.C., “The Large-N Limit For Two-Dimensional Yang-Mills Theory”, Commun. Math. Phys., 363:3 (2018), 789–828  crossref  mathscinet  zmath  isi  scopus
    4. Zelditch, S, “Macdonald's identities and the large N limit of Y M-2 on the cylinder”, Communications in Mathematical Physics, 245:3 (2004), 611  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  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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