1 Collective coordinate quantization of CP 1 model coupled to Hopf term revisited
نویسندگان
چکیده
We show that the system where CP 1 model coupled to Hopf term can reveal fractional spin in a collective coordinate quantization scheme, provided one makes a transition to physically inequivalent sector within a same solitonic sector characterized by a nonvanishing topological number
منابع مشابه
ar X iv : h ep - t h / 01 11 21 1 v 1 2 3 N ov 2 00 1 CP 1 model with Hopf term and fractional spin statistics
We reconsider the CP 1 model with the Hopf term by using the BatalinFradkin-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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We comment on a recent paper (hep-th/0406273) [1] where Non-Commutative (NC) extension of the CP (1) model coupled to Hopf term and its equivalence with an interacting spin system has been considered. We argue that the NC CP (1) model with Hopf term, along with the constraint structure, as formulated in [1] is incomplete. However, the final results obtained in [1] can be made consistent after a...
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We couple the Hopf term to the relativistic CP 1 model and carry out the Hamiltonian analysis at the classical level. The symplectic structure of the model given by the set of Dirac Brackets among the phase space variables is found to be the same as that of the pure CP 1 model. This symplectic structure is shown to be inherited from the global SU(2) invariant S model, and undergoes no modificat...
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Recently it was shown by Cho and Kimm that the gauged CP 1 model, obtained by gauging the global SU(2) group and adding a corresponding Chern-Simons term, has got its own soliton. These solitons are somewhat distinct from those of pure CP 1 model as they cannot always be characterised by π2(CP ) = Z. In this paper, we first carry out a detailed Hamiltonian analysis of this gauged CP 1 model. Th...
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تاریخ انتشار 2001