Consistent quantization and symmetry structure of a non-Abelian chiral gauge theory

Journal Article · Tue Aug 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1260· OSTI ID:5595592

Shizuya, K ^[1]

---

1. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840 (US)

The SU({ital N}) chiral Schwinger model with a Wess-Zumino term is studied by use of non-Abelian bosonization, the Becchi-Rouet-Stora formalism, and a dual transformation, and it is confirmed that this model is a sensible quantum theory in a certain range of the anomaly parameter {ital a}. The SU({ital N}) gauge symmetry restored by the inclusion of the Wess-Zumino term gets spontaneously broken and the gauge field becomes massive. Left-handed fermions are found to be confined while right-handed fermions remain free and massless. For the specific value {ital a}=2, the symmetry of the model enlarges (to a U({ital N}){times}U({ital N}) Kac-Moody symmetry). It is shown by fermionization of the Wess-Zumino field that for {ital a}=2 this model is equivalent to massless two-dimensional QCD (QCD{sub 2}) in the sense that they share the same gauge field and the same left-handed fermions. A dual transformation is used to cast the model into an equivalent nonlinear system of scalar fields only, which reveals the particle spectrum of the model.

• OSTI ID: 5595592
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CONSERVATION LAWS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASSLESS PARTICLES
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCHWINGER-TOMONAGA FORMALISM
SU GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS