TOPOLOGY AND FRACTIONAL SPIN IN THE (2+1)-DIMENSIONAL SIGMA MODEL

Date

1991-02-15

Author

Pak, Namık Kemal
PERCACCI, R

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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.

Subject Keywords

Chern-simons term, 2+1 dimensions, Canonical quantization, Gauge noninvariance, Statistics, Solitons

URI

https://hdl.handle.net/11511/62680

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.43.1375

Collections

Department of Physics, Article

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Citation Formats

N. K. Pak and R. PERCACCI, “TOPOLOGY AND FRACTIONAL SPIN IN THE (2+1)-DIMENSIONAL SIGMA MODEL,” PHYSICAL REVIEW D, pp. 1375–1384, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62680.