
%0 Journal Article
%A Christos, GA 
%T Some Aspects of the U(1) Problem and the Pseudoscalar Mass Spectrum
%J Australian Journal of Physics
%D 1984/06/01
%V 37
%N 3
%P 241-254
%K 
%R https://doi.org/10.1071/PH840241
%U https://www.publish.csiro.au/paper/PH840241 
%X 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 <ijq) is elucidated. In the usual scheme, it is found that (8S) ~ 1·48(uu). The 1] ~ tttttt decays are also discussed. 
