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High Energy Physics - Phenomenology

arXiv:hep-ph/0507226 (hep-ph)
[Submitted on 19 Jul 2005 (v1), last revised 9 Sep 2005 (this version, v2)]

Title:Aspects of U_A(1) breaking in the Nambu and Jona-Lasinio model

Authors:Alexander A. Osipov, Brigitte Hiller, Veronique Bernard, Alex H. Blin
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Abstract: The six-quark instanton induced 't Hooft interaction, which breaks the unwanted U_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_L(3)X U_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.
Comments: 42 pages, 3 figures; concluding section and references added
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-ph/0507226
  (or arXiv:hep-ph/0507226v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0507226
Journal reference: Annals Phys. 321 (2006) 2504-2534
Related DOI: https://doi.org/10.1016/j.aop.2006.02.010

Submission history

From: Brigitte Hiller [view email]
[v1] Tue, 19 Jul 2005 14:24:13 UTC (244 KB)
[v2] Fri, 9 Sep 2005 14:52:49 UTC (246 KB)
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