Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-30
Phys.Lett.B662:290-296,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages
Scientific paper
10.1016/j.physletb.2008.03.017
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, and use consistency of a gauge condition naturally to deduce another gauge condition. Further, we get 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 has the orbital angular momentum and spin angular momentum of the non-abelian gauge field. Finally, we find out the anomalous fractional spin and discover that the fractional spin has the contributions of both the group superscript components and the A_0^s (x) charge.
Huang Yong-Chang
Huo Qiu-Hong
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