A consistent noncommutative field theory: the Wess-Zumino model

Authors
Girotti, HO Gomes, M Rivelles, VO da Silva, AJ
Citation
Ho. Girotti et al., A consistent noncommutative field theory: the Wess-Zumino model, NUCL PHYS B, 587(1-3), 2000, pp. 299-310
Citations number
37
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
587
Issue
1-3
Year of publication
2000
Pages
299 - 310
Database
ISI
SICI code
0550-3213(20001030)587:1-3<299:ACNFTT>2.0.ZU;2-1
Abstract
We show that the noncommutative Wess-Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itsel f is non-renormalizable but the Yukawa terms demanded by supersymmetry impr ove the situation turning the theory into a renormalizable one. As in the c ommutative case, there are neither quadratic nor linear divergences. Hence, the IR/UV mixing does not give rise to quadratic infrared poles. (C) 2000 Elsevier Science B.V. All rights reserved.