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Title: Calculations of multiquark functions in effective models of strong interaction

In this paper we present our results of the investigation of multiquark equations in the Nambu-Jona-Lasinio model with chiral symmetry of SU(2) group in the mean-field expansion. To formulate the mean-field expansion we have used an iteration scheme of solution of the Schwinger-Dyson equations with the fermion bilocal source. We have considered the equations for Green functions of the Nambu-Jona-Lasinio model up to third step for this iteration scheme. To calculate the high-order corrections to the mean-field approximation, we propose the method of the Legendre transformation with respect to the bilocal source, which allows effectively to take into account the symmetry constraints related with the chiral Ward identity. We discuss also the problem of calculating the multiquark functions in the mean-field expansion for Nambu-Jona-Lasinio-type models with other types of the multifermion sources.
Authors:
 [1] ;  [2]
  1. Institute for Physical Problems of Baku State University (Azerbaijan)
  2. Institute of High Energy Physics, Theoretical Division (Russian Federation)
Publication Date:
OSTI Identifier:
22212660
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 76; Journal Issue: 9; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; CHIRAL SYMMETRY; CHIRALITY; EQUATIONS; EXPANSION; FERMIONS; GREEN FUNCTION; MEAN-FIELD THEORY; STRONG INTERACTIONS; SU-2 GROUPS; WARD IDENTITY