Alexander G. Abanov and Paul B. Wiegmann JHEP10(2001)030 doi:10.1088/1126-6708/2001/10/030
On the correspondence between fermionic number and statistics of solitons
Alexander G. Abanov1 and Paul B. Wiegmann2,3
Show affiliationsSolitons of a nonlinear field interacting with fermions often acquire a fermionic number or an electric charge if fermions carry a charge. We establish a correspondence between charge and statistics (or spin) of solitons showing 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 σ-model. In the most interesting cases the geometrical phase is non-perturbative and has a form of an integer-valued theta-term.
- Keywords
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Anomalies in Field and String Theories
- PACS
- Subjects
- Dates
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Issue 10 ( 1 October 2001)
Received 11 October 2001, accepted for publication 25 October 2001
Published 8 November 2001
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On the correspondence between fermionic number and statistics of solitons
Alexander G. Abanov and Paul B. Wiegmann JHEP10(2001)030
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