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Geometrical phases and quantum numbers of solitons in nonlinear sigma-models | | A. G. Abanov
; P. B. Wiegmann
; | | Date: |
22 May 2001 | | Journal: | JHEP 0110 (2001) 030 | | Subject: | hep-th cond-mat | | Abstract: | 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. | | Source: | arXiv, hep-th/0105213 | | Services: | Forum | Review | PDF | Favorites | |
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