Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-11
Phys.Rev. D63 (2001) 085012
Physics
High Energy Physics
High Energy Physics - Theory
10 pages with no figures
Scientific paper
10.1103/PhysRevD.63.085012
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.
Pengpan Teparksorn
Xiong Xiaozhen
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