Chern-Simons action in noncommutative space

被引:75
作者
Grandi, N [1 ]
Silva, GA [1 ]
机构
[1] Natl Univ La Plata, Dept Fis, RA-1900 La Plata, Argentina
关键词
D O I
10.1016/S0370-2693(01)00241-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons action showing in particular that the Seiberg-Witten formula maps it into the standard commutative Chem-Simons action. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:345 / 350
页数:6
相关论文
共 27 条
[1]  
ALVAREZGAUME L, HEPTH0006219
[2]  
Bichl AA, 2000, J HIGH ENERGY PHYS
[3]   Induced Chern-Simons and WZW action in noncommutative spacetime [J].
Chu, CS .
NUCLEAR PHYSICS B, 2000, 580 (1-2) :352-362
[4]  
Connes A, 1998, J HIGH ENERGY PHYS
[5]  
DABROWSKI L, HEPTH0003099
[6]  
Douglas MR, 1998, J HIGH ENERGY PHYS
[7]   REMARKS ON THE CANONICAL QUANTIZATION OF THE CHERN-SIMONS-WITTEN THEORY [J].
ELITZUR, S ;
MOORE, G ;
SCHWIMMER, A ;
SEIBERG, N .
NUCLEAR PHYSICS B, 1989, 326 (01) :108-134
[8]   Ultraviolet property of noncommutative Wess-Zumino-Witten model [J].
Furuta, K ;
Inami, T .
MODERN PHYSICS LETTERS A, 2000, 15 (15) :997-1002
[9]  
GHEZELBASH AM, HEPTH0008120
[10]  
GIROTTI HO, HEPTH0005272