Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-14
Nucl.Phys.B527:624-642,1998
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, Plain Tex
Scientific paper
10.1016/S0550-3213(98)00389-7
We re-examine three issues, the Hopf term, fractional spin and the soliton operators, in the 2+1 dimensional O(3) nonlinear sigma model based on the adjoint orbit parameterization (AOP) introduced earlier. It is shown that the Hopf Term is well-defined for configurations of any soliton charge $Q$ if we adopt a time independent boundary condition at spatial infinity. We then develop the Hamiltonian formulation of the model in the AOP and thereby argue that the well-known $Q^2$-formula for fractional spin holds only for a restricted class of configurations. Operators which create states of given classical configurations of any soliton number in the (physical) Hilbert space are constructed. Our results clarify some of the points which are crucial for the above three topological issues and yet have remained obscure in the literature.
Kimura Masaomi
Kobayashi Hiroyuki
Tsutsui Izumi
No associations
LandOfFree
Hopf Term, Fractional Spin and Soliton Operators in the O(3) Nonlinear Sigma Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hopf Term, Fractional Spin and Soliton Operators in the O(3) Nonlinear Sigma Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf Term, Fractional Spin and Soliton Operators in the O(3) Nonlinear Sigma Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-210350