The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models

Citation
Ef. Moreno et Fa. Schaposnik, The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models, J HIGH EN P, (3), 2000, pp. NIL_681-NIL_690
Citations number
19
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Issue
3
Year of publication
2000
Pages
NIL_681 - NIL_690
Database
ISI
SICI code
1029-8479(200003):3<NIL_681:TWTINT>2.0.ZU;2-Y
Abstract
We study the effective action associated to the Dirac operator in two dimen sional non-commutative Field Theory. Starting from the axial anomaly, we co mpute the determinant of the Dirac operator and we find that even in the U( 1) theory, a Wess-Zumino-Witten like term arises.