Note on the Mass Square of the Eta' Meson

Abstract

We propose to use as a mathematical tool to study the mass square of the etaprime meson an infinitely heavy supplementary quark flavor Q. This is understood in the framework of QCD with one light quark flavor (or n_fl light flavors) and the gauge group SU3 colour (or SUN colour). The full system thus consists of n_fl + 1 flavors, including the infinitely heavy one. The purpose of this note is to show how the heavy flavor can be made to represent the anomalies of the subtheory describing the remnant physical degrees of freedom. In the large N_c limit the mass square of etaprime tends to a finite limit. The essential deviations from (semi) perturbative derivations are related to simple properties of the 'heavy' flavor.