A Note on the Non-Commutative Wess-Zumino Model
Abstract
We show that the non-commutative Wess-Zumino(NCWZ) Lagrangian with the permutation terms in the interaction parts is renormalizable at one-loop level by only a wave function renormalization. When the non-commutativity vanishes, the logarithmic divergence of the wave function renormalization of the NCWZ theory is the same as that of the commutative one. Then algebras of the non-commutative field theories(NCFT's) are studied and the commutation relations between the generators are calculated and compared with those of the commutative ones.Keywords
All Related Versions
- Version 1, 2000-09-11, ArXiv
- Version 2, 2000-10-16, ArXiv
- Published version: Physical Review D, 63 (8).
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