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Australian Journal of Physics Australian Journal of Physics Society
A journal for the publication of original research in all branches of physics
RESEARCH ARTICLE

Some Aspects of the U(1) Problem and the Pseudoscalar Mass Spectrum

GA Christos

Australian Journal of Physics 37(3) 241 - 254
Published: 1984

Abstract

A complete discussion of the nonet pseudoscalar mass spectrum and related topics is given. The U(l) problern is briefly reviewed and the large-N point of view is considered. The necessity for a vector ghost gluonic particle, in order to resolve the U(l) problem, is stressed. Scalar ghosts and the Kogut-Susskind mechanism are shown to be insufficient. An analysis of the 1]-1]' mixing problem, with and without PCAC corrections, is made and it is suggested that the singlet decay constant may be nearly twice as large as the other octet decay constants. A general discussion of PCAC corrections is given and the remaining pseudoscalars are considered. As byproducts quark mass values are given and the rnq dependence of

https://doi.org/10.1071/PH840241

© CSIRO 1984

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