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Optimized-Variational Quark Mass Expansion and Dynamical Chiral Symmetry Breakdown

J. -L. Kneur
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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 $SU(n_f)_L \times SU(n_f)_R$ breakdown ($n_f =$ 2 or 3), in QCD. Emphasis is put on some general aspects as well as possible limitations of this approach.

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J. -L. Kneur. 1996-10-14. Optimized-Variational Quark Mass Expansion and Dynamical Chiral Symmetry Breakdown. https://arxiv.org/abs/hep-ph/9610351

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