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: $\partial [_{K\bar \psi } \Gamma _L \Gamma _M \Gamma _{N]} =$ $= 2mi\bar \psi \Gamma _{[K} \Gamma _L \Gamma _M \Gamma _{N]} \psi - \frac{1}{5}i\bar \psi (\overleftrightarrow {i\partial }^J + 2eA^J )\Gamma _{[J} \Gamma _K \Gamma _L \Gamma _M \Gamma _{N]} \psi =$ , 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 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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