On the q-deformation of the NJL model

Citation
Vs. Timoteo et Cl. Lima, On the q-deformation of the NJL model, MOD PHY L A, 15(3), 2000, pp. 219-227
Citations number
12
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
15
Issue
3
Year of publication
2000
Pages
219 - 227
Database
ISI
SICI code
0217-7323(20000130)15:3<219:OTQOTN>2.0.ZU;2-Y
Abstract
Using a q-deformed fermionic algebra we perform explicitly a deformation of the Nambu-Jona-Lasinio (NJL) Hamiltonian. In the Bogoliubov-Valatin approa ch we obtain the deformed version of the functional for the total energy, w hich is minimized to obtain the corresponding gap equation. The breaking of chiral symmetry and its restoration in the limit q --> 0 are then discusse d.