Published August 15, 1985 | Version v1
Journal article

Dispersive derivation of the triangle anomaly

Creators

  • 1. Nuclear Center, Faculty of Mathematics and Physics, Charles University Prague, V Holeovikach 2, Praha 8, Czechoslovakia

Description

We present a straightforward generalization of the results of some previous treatments, in which the Adler-Bell-Jackiw anomaly has been recovered with the help of dispersion relations. We consider the abosrptive part of the VVA triangle diagram with the external momenta k,p at vector vertices such that k2 = p2< or =0 and the fermion mass m> or =0. An integral of the imaginary part of the relevant invariant amplitude is calculated explicitly and shown to produce the desired anomalous contribution to the axial Ward identity. This also enables one to demonstrate the delta-like behavior of such an imaginary part in the limit k2→0,m→0

Additional details

Publishing Information

Journal Title
Phys. Rev., D
Journal Volume
32
Journal Issue
4
Series
Phys. Rev., D.
Journal Page Range
1029-1031
ISSN
0556-2821
CODEN
PRVDA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
17004349
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
AXIAL-VECTOR CURRENTS; DISPERSION RELATIONS; FERMIONS; FORM FACTORS; MASS; QUANTUM FIELD THEORY; WARD IDENTITY
Descriptors DEC
ALGEBRAIC CURRENTS; CURRENTS; FIELD THEORIES; PARTICLE PROPERTIES