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The Wess-Zumino-Witten term in non-commutative two-dimensional fermion models
Author(s) -
E. F. Moreno,
F Schaposnik
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/03/032
Subject(s) - dirac operator , term (time) , commutative property , mathematical physics , action (physics) , anomaly (physics) , operator (biology) , dirac (video compression format) , dirac fermion , field (mathematics) , physics , fermion , effective action , mathematics , pure mathematics , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , neutrino , gene
We study the effective action associated to the Dirac operator in twodimensional non-commutative Field Theory. Starting from the axial anomaly, wecompute the determinant of the Dirac operator and we find that even in the U(1)theory, a Wess-Zumino-Witten like term arises.Comment: 11 pages, no figures, LaTex fil

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