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Solitons and Confinement
Author(s) -
Swieca J. A.
Publication year - 1977
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19770250109
Subject(s) - bosonization , thirring model , fermion , physics , theoretical physics , massless particle , quantum field theory , relation (database) , charge (physics) , section (typography) , field (mathematics) , mathematical physics , quantum mechanics , mathematics , pure mathematics , computer science , database , operating system
The Thirring and the Schwinger models both massless and massive are discussed as prototypes for theories with topological quantum numbers and confinement respectively. Bosonization of the fermion field is introduced from the beginning allowing a unified treatment of various models. An analysis of their charge sectors clarifies the relation between the periodicity of the potential in the bosonized version of those models and the existence of an additive quantum number. A brief outline of the essential features discussed which may survive in 4‐dimensional space‐time is made in the last section.