Quark Solitons from Effective Action of QCD

Abstract

We derive an effective low energy action for QCD in 4 dimensions. The low energy dynamics is described by chiral fields transforming non-trivially under both color and flavor. We use the method of anomaly integration from the QCD action. The solitons of the theory have the quantum numbers of quarks. They are expected to be the constituent quarks of hadrons. In two dimensions our result is exact, namely the bosonic gauged action of WZW.

Comments: 19 pages (phyzzx macropackage) WIS-93/110/Nov-PH, TAUP 2117-93. Some sign changes, one sentence added following eq(3.9), and one ref. [23] added