Abelian and non-Abelian bosonization: The operator solution of the WZW. sigma. model

Journal Article · Fri Mar 15 00:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1943· OSTI ID:5846061

do Amaral, R L.P.G. ^[1]; Stephany Ruiz, J E ^[2]

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1. Departamento de Fisica, Pontificia Universidade Catolica do Rio de Janeiro, Caixa Postal 38071, CEP-22453, Rio de Janeiro, Brasil (BR)
2. Departamento de Fisica, Universidad Simon Bolivar, Apartado Postal 89000, Caracas 1080-A (Venezuela)

The complete equivalence between the Abelian and the non-Abelian bosonization formalisms for the treatment of SU({ital N}) fermions in two dimensions is analyzed and the operator solution of the Wess-Zumino-Witten nonlinear {sigma} model, written in terms of the scalar fields of the non-Abelian construction, is obtained. The importance of the order and disorder operators is stressed. In particular, they are used to show that an adequate reinterpretation of Mandelstam's formula gives the fermion representation in the non-Abelian bosonization formalism.

• OSTI ID: 5846061
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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