Optimized-Variational Quark Mass Expansion and Dynamical Chiral Symmetry Breakdown
J. -L. Kneur
Abstract
A recently proposed variational mass expansion approach to dynamical chiral symmetry breakdown is reviewed. We briefly explain how a specific integral ansatz over the analytically continued, arbitrary Lagrangian mass parameter, resums the usual variational mass expansion (``delta-expansion".) The construction is then generalized to obtain non-perturbative expressions for the order parameters of the SU(nf)L × SU(nf)R breakdown (nf = 2 or 3), in QCD. Emphasis is put on some general aspects as well as possible limitations of this approach.
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