Abelian and non-Abelian bosonization: The operator solution of the WZW. sigma. model
Journal Article
·
· Physical Review, D (Particles Fields); (USA)
- Departamento de Fisica, Pontificia Universidade Catolica do Rio de Janeiro, Caixa Postal 38071, CEP-22453, Rio de Janeiro, Brasil (BR)
- 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
Similar Records
Non-abelian bosonization in two and three spatial dimensions and applications
Consistent quantization and symmetry structure of a non-Abelian chiral gauge theory
N = 2 case of non-Abelian bosonization
Journal Article
·
Mon Nov 01 00:00:00 EDT 2021
· Nuclear Physics. B
·
OSTI ID:5846061
Consistent quantization and symmetry structure of a non-Abelian chiral gauge theory
Journal Article
·
Tue Aug 15 00:00:00 EDT 1989
· Physical Review (Section) D: Particles and Fields; (USA)
·
OSTI ID:5846061
N = 2 case of non-Abelian bosonization
Journal Article
·
Mon Feb 15 00:00:00 EST 1988
· Phys. Rev. D; (United States)
·
OSTI ID:5846061
Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SIGMA MODEL
BOSON EXPANSION
CORRELATION FUNCTIONS
FERMIONS
HILBERT SPACE
PROPAGATOR
SCALAR FIELDS
SOLITONS
SU GROUPS
THIRRING MODEL
TWO-DIMENSIONAL CALCULATIONS
BANACH SPACE
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
QUASI PARTICLES
SPACE
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645300 - High Energy Physics- Particle Invariance Principles & Symmetries
645400 - High Energy Physics- Field Theory
SIGMA MODEL
BOSON EXPANSION
CORRELATION FUNCTIONS
FERMIONS
HILBERT SPACE
PROPAGATOR
SCALAR FIELDS
SOLITONS
SU GROUPS
THIRRING MODEL
TWO-DIMENSIONAL CALCULATIONS
BANACH SPACE
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
QUASI PARTICLES
SPACE
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645300 - High Energy Physics- Particle Invariance Principles & Symmetries
645400 - High Energy Physics- Field Theory