On the correspondence between fermionic number and statistics of solitons | Zendy

Alexander G. Abanov | Zendy; P. Wiegmann | Zendy

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On the correspondence between fermionic number and statistics of solitons

Author(s) -

Alexander G. Abanov,

P. Wiegmann

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/10/030

Subject(s) - fermion , physics , charge (physics) , anomaly (physics) , nonlinear system , sigma model , action (physics) , integer (computer science) , quantum mechanics , phase (matter) , spin (aerodynamics) , mathematical physics , computer science , programming language , thermodynamics

Solitons of a nonlinear field interacting with fermions often acquire afermionic number or an electric charge if fermions carry a charge. We show howthe same mechanism (chiral anomaly) gives solitons statistical and rotationalproperties of fermions. These properties are encoded in a geometrical phase,i.e., an imaginary part of a Euclidian action for a nonlinear sigma-model. Inthe most interesting cases the geometrical phase is non-perturbative and has aform of an integer-valued theta-term.Comment: 5 pages, no figure

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