Dynamical chiral symmetry breaking and a critical mass
Abstract
On a bounded, measurable domain of non-negative current-quark mass, realistic models of QCD's gap equation can simultaneously admit two inequivalent dynamical chiral symmetry breaking solutions. One is destabilised by a current-quark mass and disappears when that mass exceeds a critical value. This value can be viewed as an upper bound on the domain within which a perturbative expansion in the current-quark mass is uniformly valid for physical quantities. It corresponds to a pseudoscalar bound-state mass m_{0^-}~0.45GeV. Properties of the two solutions of the gap equation enable a valid definition of in the presence of a nonzero current-mass. The behaviour of this condensate indicates that the essentially dynamical component of chiral symmetry breaking decreases with increasing current-quark mass.Keywords
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