Remarks on the noncommutative Wess-Zumino model
- 23 March 2001
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 63 (8)
- https://doi.org/10.1103/physrevd.63.085012
Abstract
We show that the noncommutative Wess-Zumino (NCWZ) Lagrangian with 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. Next the algebras of noncommutative field theories (NCFT's) are studied. From Neother currents, the field representation for the generators of NCFT's is extracted. Then based on this representation, the commutation relations between the generators are calculated for NCFT's. The symmetry properties of NCFT's inferred from these commutation relations are discussed and compared with those of the commutative ones.Comment: 10 pages with no figureKeywords
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