Massive Meson Fluctuation in NJL Model

Based on the self-consistent scheme beyond mean-field approximation in the large \(N_c\) expansion, including current quark mass explicitly, a general scheme of SU(2) NJL model is developed. To ensure the quark self-energy expanded in the proper order of \(N_c\), an approximate internal meson propag...

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Bibliographic Details
Published in:arXiv.org 1999-03
Main Authors: Huang, Mei, Zhuang, Pengfei, Chao, Weiqin
Format: Article
Language:English
Subjects:
Approximation
Broken symmetry
Feynman diagrams
Mathematical analysis
Mathematical models
Quarks
Variation
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Summary:Based on the self-consistent scheme beyond mean-field approximation in the large \(N_c\) expansion, including current quark mass explicitly, a general scheme of SU(2) NJL model is developed. To ensure the quark self-energy expanded in the proper order of \(N_c\), an approximate internal meson propagator is deduced, which is in order of \(O(1/N_c)\). In our scheme, adopting the method of external momentum expansion, all the Feynman diagrams are calculated in a unified way by only expanding the quark propagator. Our numerical results show, that different from the mean field approximation in which the explicitly chiral symmetry breaking is invisible, the effect of finite pion mass can be seen clearly when beyond mean-field approximation.
ISSN:2331-8422
DOI:10.48550/arxiv.9903304