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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 1, Pages 81–95
DOI: https://doi.org/10.4213/tmf6334 (Mi tmf6334) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Meson contributions in the Nambu–Jona-Lasinio model

V. E. Rochev

Institute for High Energy Physics
Full-text PDF (429 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6334
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.
Received: 27.07.2007
Revised: 14.08.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 1, Pages 488–498
DOI: https://doi.org/10.1007/s11232-009-0039-x
Bibliographic databases:
Language: Russian
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
  • https://www.mathnet.ru/eng/tmf/v159/i1/p81
    • This publication is cited in the following 5 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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