Fermions in the chiral Schwinger model

Journal Article · Tue Dec 15 04:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.3781· OSTI ID:5644238

Miyake, S; Shizuya, K

We derive an operator solution for the fermion in the chiral Schwinger model with a Wess-Zumino term and study the quantum structure of the model in a manifestly covariant operator formalism. The U(1)/sub L/ gauge symmetry restored by the inclusion of the Wess-Zumino term gets spontaneously broken and the gauge field becomes massive. The left-handed fermion is found to be confined. The right-handed fermion, on the other hand, remains a massless free field in spite of the fact that the left- and right-handed sectors of the model are coupled through the anomaly. This massless fermion is interpreted as the Nambu-Goldstone mode associated with the spontaneous breakdown of the global U(1)/sub R/ symmetry.

• Research Organization: Department of Engineering Science, Tohoku University, Sendai 980, Japan
• OSTI ID: 5644238
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:12; ISSN PRVDA
• 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
BOSONS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
EUCLIDEAN SPACE
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL SPACE
POSTULATED PARTICLES
PROPAGATOR
QUANTIZATION
RIEMANN SPACE
SPACE
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS