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

Bijnens, Johan LU orcid ; Bruno, Christophe and de Rafael, Eduardo (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.

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author
; and
publishing date
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}},
}