A New Mass Formula for NG Bosons in QCD

Abstract

An often used mass formula for Nambu-Goldstone (NG) bosons in QCD, such as the pions, involves the condensate <qq>, fπ and the quark current masses. We argue, within the context of the Global Colour Model to QCD, that this expression is wrong. Analysis of the interplay between the Dyson-Schwinger equation for the constituent quark effect and the Bethe-Salpeter equation for the NG boson results in a new mass formula.

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