Nambu-Jona-Lasinio-like models and the low-energy effective action of QCD
(1993) In Nuclear Physics, Section B 390(2). p.501-541- Abstract
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... (More)
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.
(Less)
- author
- Bijnens, Johan LU ; Bruno, Christophe and de Rafael, Eduardo
- publishing date
- 1993-02-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Nuclear Physics, Section B
- volume
- 390
- issue
- 2
- pages
- 41 pages
- publisher
- North-Holland
- external identifiers
-
- scopus:0001471704
- ISSN
- 0550-3213
- DOI
- 10.1016/0550-3213(93)90466-3
- language
- English
- LU publication?
- no
- id
- eb2a93fb-fa58-4659-ae19-54e490bdc134
- date added to LUP
- 2019-05-03 09:33:33
- date last changed
- 2021-09-26 04:11:11
@article{eb2a93fb-fa58-4659-ae19-54e490bdc134, abstract = {{<p>We present a derivation of the low-energy effective action of an extended Nambu-Jona-Lasinio (ENJL) model to O(p<sup>4</sup>) 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 N<sub>c</sub> expansion.) Finally the numerical predictions are compared with the experimental values of the low-energy parameters.</p>}}, author = {{Bijnens, Johan and Bruno, Christophe and de Rafael, Eduardo}}, issn = {{0550-3213}}, language = {{eng}}, month = {{02}}, number = {{2}}, pages = {{501--541}}, publisher = {{North-Holland}}, series = {{Nuclear Physics, Section B}}, title = {{Nambu-Jona-Lasinio-like models and the low-energy effective action of QCD}}, url = {{http://dx.doi.org/10.1016/0550-3213(93)90466-3}}, doi = {{10.1016/0550-3213(93)90466-3}}, volume = {{390}}, year = {{1993}}, }