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

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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

$1/N$ -expansion for flag-manifold

σ

$\sigma$ -models

D. V. Bykov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Full-text PDF (505 kB) Citations (3)

References:

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DOI: https://doi.org/10.4213/tmf9617

Abstract: We derive the Feynman rules for the

1 / N

$1/N$ -expansion of the simplest

σ

$\sigma$ -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)}

$\frac{U(N)}{U(1)\times U(1)\times U(N-2)}$ .

Keywords:

σ

$\sigma$ -model, Feynman rule,

1 / N

$1/N$ -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

$1/N$ -expansion for flag-manifold

σ

$\sigma$ -models”, TMF, 197:3 (2018), 345–355; Theoret. and Math. Phys., 197:3 (2018), 1691–1700

Citation in format AMSBIB

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Linking options:

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:

I. Affleck, D. Bykov, K. Wamer, “Flag manifold SIGMA models: spin chains and integrable theories”, Phys. Rep.-Rev. Sec. Phys. Lett., 953 (2022), 1–93
Dmitri V. Bykov, “Flag Manifold Sigma Models and Nilpotent Orbits”, Proc. Steklov Inst. Math., 309 (2020), 78–86
D. Pavshinkin, “Grassmannian and flag sigma models on interval: phase structure and L-dependence”, J. High Energ. Phys., 2019:12 (2019)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	93
References:	50
First page:	15

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