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Photo of Johan Bijnens

Johan Bijnens

Professor

Photo of Johan Bijnens

Nambu-Jona-Lasinio-like models and the low-energy effective action of QCD

Author

  • Johan Bijnens
  • Christophe Bruno
  • Eduardo de Rafael

Summary, in English

We present a derivation of the low-energy effective action of an extended Nambu-Jona-Lasinio (ENJL) model to O(p4) 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 1 Nc expansion.) Finally the numerical predictions are compared with the experimental values of the low-energy parameters.

Publishing year

1993-02-01

Language

English

Pages

501-541

Publication/Series

Nuclear Physics, Section B

Volume

390

Issue

2

Document type

Journal article

Publisher

North-Holland

Topic

  • Other Physics Topics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0550-3213