Aspects of U {sub A} (1) breaking in the Nambu and Jona-Lasinio model

Journal Article · Wed Nov 15 00:00:00 EST 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.02.010· OSTI ID:20845936

Osipov, A A ^[1]; Hiller, B ^[1]; Bernard, V ^[2]; Blin, A H ^[1]

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1. Centro de Fisica Teorica, Departamento de Fisica da Universidade de Coimbra, 3004-516 Coimbra (Portugal)
2. Universite Louis Pasteur, Laboratoire de Physique Theorique 3-5, rue de l'Universite, F-67084 Strasbourg (France)

The six-quark instanton induced 't Hooft interaction, which breaks the unwanted U {sub A} (1) symmetry of QCD, is a source of perturbative corrections to the leading order result formed by the four-quark forces with the U {sub L} (3) x U {sub R} (3) chiral symmetry. A detailed quantitative calculation is carried out to bosonize the model by the functional integral method. We concentrate our efforts on finding ways to integrate out the auxiliary bosonic variables. The functional integral over these variables cannot be evaluated exactly. We show that the modified stationary phase approach leads to a resummation within the perturbative series and calculate the integral in the 'two-loop' approximation. The result is a correction to the effective mesonic Lagrangian which may be important for the low-energy spectrum and dynamics of the scalar and pseudoscalar nonets.

• OSTI ID: 20845936
• Journal Information: Annals of Physics (New York), Vol. 321, Issue 11; Other Information: DOI: 10.1016/j.aop.2006.02.010; PII: S0003-4916(06)00047-9; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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ENERGY SPECTRA
INSTANTONS
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QUANTUM CHROMODYNAMICS
QUARKS
U-1 GROUPS
U-3 GROUPS