Evaluation of the chiral anomaly in gauge theories with. gamma. /sub 5/ couplings

Journal Article · Sat Jan 14 23:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.285· OSTI ID:5002908

Fujikawa, K

A straightforward application of various regularization schemes in perturbation theory generally leads to physically unacceptable results in the evaluation of the chiral anomaly if the gauge theory contains ..gamma../sub 5/ couplings. In gauge theory the anomaly-free properties should be imposed on all the gauge vertices, regardless of whether they are vector or axial-vector, and thus the (nongauge) vector vertex of a triangle diagram could contain an anomaly if the gauge couplings involve ..gamma../sub 5/. This is illustrated by the fermion number (vector) current in the Weinberg-Salam theory. It is then shown that the path-integral formalism naturally resolves those complications and gives rise to a unique gauge-invariant result. The Hermiticity of eigenvalue equations in Euclidean gauge theory plays an important role in the path-integral formalism. A path-integral treatment of gauge theory with S and P Higgs couplings is also described.

• Research Organization: Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725, Japan
• OSTI ID: 5002908
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LAGRANGIAN FUNCTION
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RENORMALIZATION
SYMMETRY BREAKING
VACUUM STATES