Calculations of multiquark functions in effective models of strong interaction

Journal Article · Sun Sep 15 04:00:00 EDT 2013 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778813080176· OSTI ID:22212660

Rochev, V. E. ^[1]

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1. Institute of High Energy Physics, Theoretical Division (Russian Federation)

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.

• OSTI ID: 22212660
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 9 Vol. 76; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

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