Derivation of chiral anomalies and commutator anomalies in a fixed-time regularization method

Journal Article · Mon Aug 15 00:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.1296· OSTI ID:7136700

Hosono, S; Seo, K

A gauge-covariant regularization method is introduced to evaluate current-current and current--electric-field commutator anomalies in chiral gauge theories in two- and four-dimensional spacetime within the Hamiltonian formalism. The results are consistent with those obtained by the Bjorken-Johnson-Low method. Provided that the electric fields commute with each other, a covariant expression is found for the commutator anomaly of the Gauss-law operator. The regularized current is shown to have the covariant anomaly in its divergence due to its noncommutativity with the electric field.

• Research Organization: Department of Physics, Nagoya University, Nagoya 464, Japan
• OSTI ID: 7136700
• Journal Information: Phys. Rev. D; (United States), Vol. 38:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GAUGE INVARIANCE
CHIRAL SYMMETRY
SPACE-TIME
CURRENT COMMUTATORS
ELECTRIC FIELDS
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
COMMUTATORS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SYMMETRY
645400* - High Energy Physics- Field Theory
645300 - High Energy Physics- Particle Invariance Principles & Symmetries