Batalin-Fradkin quantization of anomalous chiral gauge theories

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5438· OSTI ID:7069325

Banerjee, R; Rothe, H J; Rothe, K D ^[1]

---

1. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)

We quantize two-dimensional anomalous chiral gauge theories by following the Batalin-Fradkin prescription for converting second-class systems to first-class ones. Because of the chiral anomaly, the classical Poisson brackets of the Batalin-Fradkin scheme must be replaced by anomalous Poisson brackets in the fermionic formulation. With respect to these brackets the first-class constraints, the BRST charge, and the unitarizing Hamiltonian are explicitly constructed. The partition function is computed for different gauge choices. The unitary gauge and the conventional Faddeev-Popov-like gauges are analyzed in detail. In the latter gauges we obtain generalized Wess-Zumino-type actions.

• OSTI ID: 7069325
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTITION FUNCTIONS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS