eCite Digital Repository

Dimensional regularization and PCAC


Akyeampong, DA and Delbourgo, R, Dimensional regularization and PCAC, Nuovo Cimento A, 18, (1) pp. 94-104. ISSN 0369-3546 (1973) [Refereed Article]

DOI: doi:10.1007/BF02820839


In a space-time of arbitrary even dimension neither the mass term nor the kinetic-energy term of the free spinor Lagrangian is chirally invariant. We construct a generalized sigma-model whereby the divergence of the axial current is converted into the sum of two distinct pion fields. The first pion couples in the conventional manner with the fermion whereas the second pion couples through the anomalous kineticenergy interaction ψJΓ[JΓKΓLΓMΓN]τψ . This second coupling disappears from all tree graphs as we descend to four dimensions, but through closed fermion loops is responsible for all the anomalous meson interactions. The 〈AAA〉 and 〈VAAA〉 anomalies are thereby calculated in terms of the 〈VVA〉 anomaly.

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:96926
Year Published:1973
Web of Science® Times Cited:73
Deposited By:Mathematics and Physics
Deposited On:2014-11-26
Last Modified:2014-11-26

Repository Staff Only: item control page