Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-09-04
Phys.Lett. B390 (1997) 385-391
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, no figures, LaTex
Scientific paper
10.1016/S0370-2693(96)01384-6
We develop a "variational mass" expansion approach, recently introduced in the Gross--Neveu model, to evaluate some of the order parameters of chiral symmetry breakdown in QCD. The method relies on a reorganization of the usual perturbation theory with the addition of an "arbitrary quark mass $m$, whose non-perturbative behaviour is inferred partly from renormalization group properties, and from analytic continuation in $m$ properties. The resulting ansatz can be optimized, and in the chiral limit $m \to 0$ we estimate the dynamical contribution to the "constituent" masses of the light quarks $M_{u,d,s}$; the pion decay constant $F_\pi$ and the quark condensate $< \bar q q >$.
Arvanitis C.
Geniet Frederic
Kneur Jean-Loic
Neveu A.
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