Bosonization and the generalized Mandelstam operators

Details Bosonization and the generalized Mandelstam operators Bosonization and the generalized Mandelstam operators

2004-11-23

arxiv.org/abs/hep-th/0411215v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTex. Talk presented at the V Latin American Symposium on High Energy Physics (V-SILAFAE), Lima Peru, July 12-17, 20

Scientific paper

The generalized massive Thirring model (GMT) with $N_{f}(=$number of positive roots of $su(n)$) fermion species is bosonized in the context of the functional integral and operator formulations and shown to be equivalent to a generalized sine-Gordon model (GSG) with $N_{f}$ interacting soliton species. The generalized Mandelstam-Halpern soliton operators are constructed and the fermion-boson mapping is established through a set of generalized bosonization rules in a quotient positive definite Hilbert space of states. Each fermion species is mapped to its corresponding soliton in the spirit of particle/soliton duality of Abelian bosonization. The examples of $su(3)$ and $su(4)$ are presented.

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