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TMF, 2009, Volume 159, Number 1, Pages 81–95 (Mi tmf6334)  

This article is cited in 4 scientific papers (total in 4 papers)

Meson contributions in the Nambu–Jona-Lasinio model

V. E. Rochev

Institute for High Energy Physics

Abstract: We discuss the problem of calculating corrections to the mean-field approximation in the Nambu–Jona-Lasinio model. To calculate such corrections, we propose using the method of the Legendre transformation with respect to a bilocal source, which allows taking symmetry constraints related to the chiral Ward identity into account effectively. Using the proposed method, we determine the corrections to the quark propagator and the two-particle quark function.

Keywords: Nambu–Jona-Lasinio model, mean-field expansion, Legendre transformation, chiral Ward identity

DOI: https://doi.org/10.4213/tmf6334

Full text: PDF file (429 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 159:1, 488–498

Bibliographic databases:

Received: 27.07.2007
Revised: 14.08.2008

Citation: V. E. Rochev, “Meson contributions in the Nambu–Jona-Lasinio model”, TMF, 159:1 (2009), 81–95; Theoret. and Math. Phys., 159:1 (2009), 488–498

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6334
  • http://mi.mathnet.ru/eng/tmf/v159/i1/p81

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

    This publication is cited in the following articles:
    1. Rochev V.E., “Asymptotic behavior in the scalar field theory”, J. Phys. A: Math. Theor., 44:30 (2011), 305403  crossref  mathscinet  zmath  isi  scopus  scopus
    2. Jafarov R.G. Rochev V.E., “Calculations of Multiquark Functions in Effective Models of Strong Interaction”, Phys. Atom. Nuclei, 76:9 (2013), 1149–1156  crossref  adsnasa  isi  elib  scopus
    3. Rochev V.E., “Asymptotic Behavior and Critical Coupling in the Scalar Yukawa Model From Schwinger-Dyson Equations”, J. Phys. A-Math. Theor., 46:18 (2013), 185401  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    4. Garibli A.A. Jafarov R.G. Rochev V.E., “Mean-Field Expansion, Regularization Issue, and Multi-Quark Functions in Nambu-Jona-Lasinio Model”, Symmetry-Basel, 11:5 (2019), 668  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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