Geometrical phases and quantum numbers of solitons in nonlinear sigma-models

Details Geometrical phases and quantum numbers of solitons in nonlinear sigma-models Geometrical phases and quantum numbers of solitons in nonlinear sigma-models

2001-05-22

arxiv.org/abs/hep-th/0105213v1

JHEP 0110 (2001) 030

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figures

Scientific paper

10.1088/1126-6708/2001/10/030

Solitons of a nonlinear field interacting with fermions often acquire a fermionic number or an electric charge if fermions carry a charge. We show how the same mechanism (chiral anomaly) gives solitons statistical and rotational properties of fermions. These properties are encoded in a geometrical phase, i.e., an imaginary part of a Euclidian action for a nonlinear sigma-model. In the most interesting cases the geometrical phase is non-perturbative and has a form of an integer-valued theta-term.

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