Abstract
Based on the Dyson–Schwinger equations in rainbow approximationfor quark propagator with an effective gluon propagator, and onthe parametrized fully dressed quark propagator proposed by us,the unknown Gasser–Leutwyler coefficients of the chiral Lagrangianfor pseudoscalar Goldstone bosons, Li, are predictedrespectively. The predicted values of Li in the two differentways are not only in reasonable agreement each other but also inagreement with empirical values used widely in literature and thevalues predicted by many other theoretical models with QCDcharacteristics. The compatible results of Gasser–Leutwylercoefficients predicted by our parameterized quark propagator, inturn, clearly verify its extensive validity.
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