
Johan Bijnens
Professor, Deputy Head of Division

Nambu-Jona-Lasinio-like models and the low-energy effective action of QCD
Author
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
Elsevier
Topic
- Other Physics Topics
Status
Published
ISBN/ISSN/Other
- ISSN: 0550-3213