Abstract
We examine the Dyson-Schwinger equation for the quark propagator in quantum chromodynamics by employing the gauge technique with the object of investigating spontaneously broken flavor symmetry in the chiral limit of vanishing current quark masses. We show that dynamical breakdown of flavorSU V (N F ) symmetry does not occur, thus reiterating an assertion by Vafa and Witten. Our analysis is limited to three flavors but is generalizable to an arbitrary number of flavors,N F>3.
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