Current commutator anomalies and chiral anomalies in the canonical formalism

Journal Article · Wed Jun 01 00:00:00 EDT 1988 · Mod. Phys. Letters B; (United States)

DOI:https://doi.org/10.1142/S0217732388000830· OSTI ID:7124482

Hosono, S; Seo, K

Without recourse to the Bjorken-Johnson-Low (BJL) method, current-current and current-electric-field commutator anomalies are evaluated in chiral gauge theories in two- and four-dimensional spacetime with the help of a gauge covariant regularization method. The results are consistent with previous analyses through the BJL method, and partially confirmed Faddeev's conjecture on the commutator anomalies of the Gauss law constraint operators within the canonical formalism. The chiral anomalies of the current divergence are derived from these commutator anomalies in the Weyl gauge where current-electric-field commutator anomalies play important roles.

• Research Organization: Dept. of Physics, Nagoya Univ., Nagoya 464 (JP)
• OSTI ID: 7124482
• Journal Information: Mod. Phys. Letters B; (United States), Vol. 3:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CURRENT COMMUTATORS
GAUGE INVARIANCE
ELECTRIC FIELDS
CHIRAL SYMMETRY
CANONICAL TRANSFORMATIONS
EVALUATION
FOUR-DIMENSIONAL CALCULATIONS
COMMUTATORS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SYMMETRY
TRANSFORMATIONS
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics