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