Comment on a proposed new anomaly

Journal Article · Sat Mar 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.1705· OSTI ID:5480580

Gottlieb, S; Donohue, J T

Recently, Frampton has suggested that the usual cancellation of the Adler-Bell-Jackiw axial-vector anomaly might not occur, leading either to the nonrenormalizability of the weak-electromagnetic interactions or to constraints among fermion masses. We make some remarks on the nature of various regularization schemes and symmetries and, in particular, on the role of current conservation in the regularization of the triangle amplitude. We emphasize that it may be difficult to conclude that a theory is nonrenormalizable, and we give a physical argument as to why one doubts that whether or not a theory is renormalizable can depend upon the values of the particle masses. Finally, it is suggested that Frampton's claim be examined in an Abelian theory where his regularization may be compared with another.

• Research Organization: High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5480580
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BASIC INTERACTIONS
CONFORMAL INVARIANCE
CURRENTS
DIAGRAMS
ELECTROMAGNETIC INTERACTIONS
FERMIONS
FEYNMAN DIAGRAM
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
PERTURBATION THEORY
RENORMALIZATION
SPINORS
WARD IDENTITY
WEAK INTERACTIONS