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- W2171878145 abstract "We develop a simple model for coupling the pseudo-Goldstone bosons of QCD Or's, K's, -q) to quark fields. This nonlocal model incorporates a momentum dependent dynamical quark mass ,~ (p) in a manner consistent with global chiral symmetry. Explicit current quark masses and gauge fields are also introduced. All low energy parameters of the chiral lagrangian are expressed in terms of ~(p). In particular we obtain the ten coefficients of order pa terms in the energy expansion. The physical values for too, mR +, inK0 , f#, and fn are used to determine the three current quark masses, the constituent quark mass, and the quark condensate. The results are in surprisingly good agreement with the experimental values. In this paper we will present a simple nonlocal model for pseudo-Goldstone bosons (PGBs) coupled to massive quarks. Upon integrating out the quarks and performing a derivative expansion the model yields an effective low energy chiral lagrangian. We will make no attempt to derive the model as a controlled approximation to QCD, and there is no reason a priori why the chiral lagrangian we obtain should resemble the low energy effective theory of QCD. But the model does incorporate a nontrivial momentum dependence for the quark mass and thereby represents the dynamical quark mass in QCD. This is accomplished in a manner consistent with the dynamical breakdown of chiral symmetry and it improves previous derivations of chiral lagrangians in chiral quark models. We find, rather surprisingly, that the model does well at reproducing what is currently known about low energy QCD. An effective chiral lagrangian may be used to encode the physics of the PGBs of QCD in a systematic low-energy expansion. In the notation of Gasser and Leutwyler [ 1 ], for QCD with three light quarks the leading (order p~) and next-to-leading (order p4) terms of the chiral lagrangian are the following: L = ]Fo2{(V ~ U+V~. + (X+ U + X U+)} + L, (V ~ U+V. 2 + L2(V~ U+V. U)(V ~' U+V U) + La(V g UtV~, UVU+V." @default.
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- W2171878145 date "1990-08-01" @default.
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- W2171878145 title "Chiral lagrangian from quarks with dynamical mass" @default.
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- W2171878145 doi "https://doi.org/10.1016/0370-2693(90)90700-g" @default.
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