COMMENT ON A PROPOSED NEW ANOMALY

Jan, 1979
12 pages
Published in:
  • Phys.Rev.D 21 (1980) 1705
Report number:
  • ANL-HEP-PR-79-01

Citations per year

19791982198519881989120
Abstract: (APS)
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.
  • CURRENT: AXIAL-VECTOR
  • CURRENT: ANOMALY
  • RENORMALIZATION: REGULARIZATION
  • PERTURBATION THEORY
  • FIELD THEORY: WARD IDENTITY
  • FERMION: MASS
  • MASS: FERMION
  • FEYNMAN GRAPH