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Dimensional regularization, abnormal amplitudes and anomalies


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


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:Particle and high energy physics
Research Field:Particle physics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:96927
Year Published:1973
Web of Science® Times Cited:170
Deposited By:Mathematics and Physics
Deposited On:2014-11-26
Last Modified:2014-11-26

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