Ideal quarks and mesons in the relativistic quark model

Journal Article · Sun May 01 04:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.2805· OSTI ID:5074079

Kaneko, K ^[1]

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1. Department of Physics, College of Liberal Arts, Kyushu Sangyo University, Kashii, Fukuoka 813 (Japan)

We propose a microscopic theory for interacting mesons and ideal quarks in the relativistic quark model using the time-dependent mean-field theory technique. For simplicity we examined the Nambu--Jona-Lasinio model. The dynamical chiral-symmetry breaking leads to a zero-frequency mode (pion) due to the restoration of chiral symmetry. The ideal quarks are represented as dressed particles independent of mean fields, and do not have the conventional properties of fermions. This is due to the constraints of eliminating the double counting of degrees of freedom between the mean fields and quarks. The small fluctuation around the static solution is then investigated. The pseudoscalar and scalar mesons are represented as the collective modes of the mean fields.

• OSTI ID: 5074079
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 49:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
FLUCTUATIONS
HADRONS
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MESONS
PARTICLE MODELS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARK MODEL
QUARKS
RELATIVISTIC RANGE
SCALAR MESONS
SYMMETRY
TIME DEPENDENCE
VARIATIONS