On the correspondence between fermionic number and statistics of solitons

2001/05/22 by Alexander G. Abanov, A. G. Abanov, P. Wiegmann +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #cond-mat #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/10/030

published as JHEP 0110 (2001) 030 · 5 pages, no figures

arxiv created 2001/05/22 · openalex publication_date 2001/10/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Toroidal Confugurations As Stable Solitons
• A unified field theory of mesons and baryons
• Global aspects of current algebra
• Chiral NonlinearσModels as Models for Topological Superconductivity
• Theory of Superconductivity

Cited by

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