We discuss the appearance of theta vacua and solitons with fractional spin in the S2-valued nonlinear sigma model in two space dimensions. We use a formulation of the sigma model in terms of Euler angles and work within the context of canonical quantization. We show that when the model is coupled to an SU(2) topologically massive theory, the theta sectors disappear and the topological mass is not quantized.
Topology and fractional spin in the (2+1)-dimensional σ model / Pak, Nk; Percacci, Roberto. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 43:4(1991), pp. 1375-1384. [10.1103/PhysRevD.43.1375]
Topology and fractional spin in the (2+1)-dimensional σ model
Percacci, Roberto
1991-01-01
Abstract
We discuss the appearance of theta vacua and solitons with fractional spin in the S2-valued nonlinear sigma model in two space dimensions. We use a formulation of the sigma model in terms of Euler angles and work within the context of canonical quantization. We show that when the model is coupled to an SU(2) topologically massive theory, the theta sectors disappear and the topological mass is not quantized.File in questo prodotto:
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