$CP^{1}$ model with Hopf term and fractional spin statistics

Details $CP^{1}$ model with Hopf term and fractional spin statistics $CP^{1}$ model with Hopf term and fractional spin statistics

2001-11-23

arxiv.org/abs/hep-th/0111211v1

Mod.Phys.Lett. A17 (2002) 103-114

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1142/S0217732302006242

We reconsider the $CP^{1}$ model with the Hopf term by using the
Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of the Dirac
quantization method. We also perform a semi-classical quantization of the
topological charge Q sector by exploiting the collective coordinates to
explicitly show the fractional spin statistics.

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