NON-ABELIAN SOLITON OPERATORS

Authors
Citation
Ma. Lohe, NON-ABELIAN SOLITON OPERATORS, Physical review. D. Particles and fields, 52(6), 1995, pp. 3643-3652
Citations number
22
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
52
Issue
6
Year of publication
1995
Pages
3643 - 3652
Database
ISI
SICI code
0556-2821(1995)52:6<3643:NSO>2.0.ZU;2-M
Abstract
We construct soliton operators for the Wess-Zumino-Witten (WZW) model with a chiral O(N)xO(N) invariance, and use them to derive non-Abelian bosonization properties directly. The soliton operators express the f ermion fields as nonlocal functions of the boson currents and provide a direct map from the boson to the fermion fields. With them we determ ine the fermion equivalent Lagrangian for level kappa = N together wit h the fermion bilinears equivalent to the boson fields. We generalize this construction to arbitrary values of the coupling constant and fin d the equivalent fermion model, which has current-current interactions .