Faddeev-Senjanovic quantization of SU(n) N=2 supersymmetric gauge field system with a non-Abelian Chern-Simons topological term and its fractional spin

被引:16
作者
Huang, Yong-Chang [1 ,2 ]
Huo, Qiu-Hong [1 ]
机构
[1] Beijing Univ Technol, Inst Theoret Phys, Beijing 100022, Peoples R China
[2] CCAST, World Lab, Beijing 100080, Peoples R China
关键词
supersymmetry; non-Abelian; Chern-Simons; quantization; fractional spin; gauge field;
D O I
10.1016/j.physletb.2008.03.017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Using Faddeev-Senjanovic path integral quantization for constrained Hamilton system, we quantize SU(n) N = 2 supersymmetric gauge field system with non-Abelian Chern-Simons topological term in 2 + 1 dimensions. We use consistency of Coulomb gauge condition to naturally deduce a new gauge condition. Furthermore, we obtain the generating functional of Green function in phase space, deduce the angular momentum based on the global canonical Noether theorem at quantum level, obtain the fractional spin of this supersymmetric system, and show that the total angular momentum is the sum of the orbital angular momentum and spin angular momentum of the non-Abelian gauge field. Finally, we obtain the anomalous fractional spin and discover that the fractional spin has the contributions of both the group superscript components and A(0)(s)(x) charge. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:290 / 296
页数:7
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