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Two- and three-point functions in the extended NJL model

Bijnens, Johan LU orcid and Prades, Joaquim (1994) In Zeitschrift für Physik C Particles and Fields 64(3). p.475-494
Abstract

The two-point functions in generalized Nambu-Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in 1/Nc. The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vectorpseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-) meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous... (More)

The two-point functions in generalized Nambu-Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in 1/Nc. The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vectorpseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-) meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous sectors.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
in
Zeitschrift für Physik C Particles and Fields
volume
64
issue
3
pages
20 pages
publisher
Springer Nature
external identifiers
  • scopus:34249773364
ISSN
0170-9739
DOI
10.1007/BF01560109
language
English
LU publication?
no
id
d92f0037-3b1e-4283-85ae-6ef01a01e08b
date added to LUP
2019-05-03 09:28:39
date last changed
2025-10-14 13:07:17
@article{d92f0037-3b1e-4283-85ae-6ef01a01e08b,
  abstract     = {{<p>The two-point functions in generalized Nambu-Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in 1/N<sub>c</sub>. The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vectorpseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-) meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous sectors.</p>}},
  author       = {{Bijnens, Johan and Prades, Joaquim}},
  issn         = {{0170-9739}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{3}},
  pages        = {{475--494}},
  publisher    = {{Springer Nature}},
  series       = {{Zeitschrift für Physik C Particles and Fields}},
  title        = {{Two- and three-point functions in the extended NJL model}},
  url          = {{http://dx.doi.org/10.1007/BF01560109}},
  doi          = {{10.1007/BF01560109}},
  volume       = {{64}},
  year         = {{1994}},
}