eCite Digital Repository

Dimensional regularization, abnormal amplitudes and anomalies

Citation

Akyeampong, DA and Delbourgo, R, Dimensional regularization, abnormal amplitudes and anomalies, Nuovo Cimento A, 17, (4) pp. 578-586. ISSN 0369-3546 (1973) [Refereed Article]

DOI: doi:10.1007/BF02786835

Abstract

Identifying axial vectors and pseudoscalars as antisymmetric 3-component and 4-component tensors in space-time of arbitrary dimensions, we discover a new PCAC law: [KψΓLΓMΓN]= =2miψΓ[KΓLΓMΓN]ψ15iψ(iJ+2eAJ)Γ[JΓKΓLΓMΓN]ψ= , where the extra term on the right-hand side does not exist in 4 dimensions. However, when we do descend to 4 dimensions after dimensional regularization it is precisely the axial vector anomaly. In a parallel calculation we have also shown how to obtain the anomaly in the matrix elements of the trace of the stress tensor.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Atomic, Molecular, Nuclear, Particle and Plasma Physics
Research Field:Particle Physics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:96927
Year Published:1973
Web of Science® Times Cited:142
Deposited By:Mathematics and Physics
Deposited On:2014-11-26
Last Modified:2014-11-26
Downloads:0

Repository Staff Only: item control page