Nambu-Jona-Lasinio like models and the low-energy effective action of QCD
May, 199248 pages
Published in:
- Nucl.Phys.B 390 (1993) 501-541
e-Print:
- hep-ph/9206236 [hep-ph]
Report number:
- CERN-TH-6521-92,
- CPT-92-P-2710
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Abstract:
We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy approximation to QCD. The low energy effective Lagrangian we derive includes the usual pseudoscalar Goldstone modes, as well as the lower scalar, vector and axial-vector degrees of freedom. By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model. Another property of the ensuing effective Lagrangian is that it incorporates most of the short-distance relations which follow from QCD. (We derive these relations in the presence of all possible gluonic interactions to leading order in the -expansion.) Finally the numerical predictions are compared to the experimental values of the low energy parameters- Jona-Lasinio-Nambu model
- effective action
- symmetry: chiral
- spontaneous symmetry breaking
- mean field approximation
- coupling constant: axial-vector
- axial-vector: coupling constant
- numerical calculations: interpretation of experiments
- bibliography
- expansion 1/N
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