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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 345–355
DOI: https://doi.org/10.4213/tmf9617
(Mi tmf9617)
 

This article is cited in 3 scientific papers (total in 3 papers)

The $1/N$-expansion for flag-manifold $\sigma$-models

D. V. Bykov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (505 kB) Citations (3)
References:
Abstract: We derive the Feynman rules for the $1/N$-expansion of the simplest $\sigma$-model in the class of models that we previously proposed. We consider the case where the target space is the flag manifold $\frac{U(N)}{U(1)\times U(1)\times U(N-2)}$.
Keywords: $\sigma$-model, Feynman rule, $1/N$-expansion.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research was supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).
Received: 13.08.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1691–1700
DOI: https://doi.org/10.1134/S0040577918120012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Bykov, “The $1/N$-expansion for flag-manifold $\sigma$-models”, TMF, 197:3 (2018), 345–355; Theoret. and Math. Phys., 197:3 (2018), 1691–1700
Citation in format AMSBIB
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\paper The~$1/N$-expansion for flag-manifold $\sigma$-models
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  • https://www.mathnet.ru/eng/tmf9617
  • https://doi.org/10.4213/tmf9617
  • https://www.mathnet.ru/eng/tmf/v197/i3/p345
  • This publication is cited in the following 3 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:315
    Full-text PDF :68
    References:37
    First page:14
     
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