Two- and three-point functions in the extended NJL model
(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.
(Less)
- author
- Bijnens, Johan
LU
and Prades, Joaquim
- publishing date
- 1994-09-01
- 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
- 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
- 2021-01-03 03:38:28
@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}}, 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}}, }