Equivalence between the Wess-Zumino-Witten model and two chiral bosons

Journal Article · Sat Aug 10 00:00:00 EDT 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91001659· OSTI ID:5526911

Harada, K ^[1]

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1. Inst. fuer Theoretische Physik der Univ. Heidelberg, Philosophenweg 16, D-6900 Heidelberg (DE)

This paper establishes the formal equivalence of a bosonized Dirac fermion (the Wess-Zumino-Witten model) to two bosonized Weyl fermions (Sonnenschein's chiral bosons) in the path integral framework. These two systems can be regarded as gauge-fixed systems of the same gauge-invariant theory. Factorization of the fermion determinant of QCD{sub 2} is naturally realized in terms of chiral bosonization, up to a contact term which is necessary for maintaining gauge invariance. Canonical quantization of the gauge-invariantly extended system is performed.

• OSTI ID: 5526911
• Journal Information: International Journal of Modern Physics A; (United States), Vol. 6:19; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
CANONICAL DIMENSION
FERMIONS
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
PARTICLE MODELS
QUANTIZATION
QUANTUM CHROMODYNAMICS
FIELD THEORIES
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
QUANTUM FIELD THEORY
SCALE DIMENSION
SYMMETRY
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