Non-Abelian soliton operators
- Department of Physics, The University of Texas at Austin, Austin, Texas 78712-1081 (United States)
We construct soliton operators for the Wess-Zumino-Witten (WZW) model with a chiral O({ital N}){times}O({ital N}) invariance, and use them to derive non-Abelian bosonization properties directly. The soliton operators express the fermion fields as nonlocal functions of the boson currents and provide a direct map from the boson to the fermion fields. With them we determine the fermion equivalent Lagrangian for level {ital k}={ital N} together with the fermion bilinears equivalent to the boson fields. We generalize this construction to arbitrary values of the coupling constant and find the equivalent fermion model, which has current-current interactions.
- OSTI ID:
- 122978
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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