Abstract

Based on an extensive study of the Dyson–Schwinger equations for a fullydressed quark propagator in the ``rainbow'' approximation, a parametrized form of thequark propagator is suggested. The corresponding quark self-energy Σf and thestructure of non-local quark vacuum condensate ⟨0| :q̄(x)q(0): |0⟩are investigated. The algebraic form of the quark propagator proposed in this workdescribes a confining quark propagation, and is quite convenientto be used in any numerical calculations.

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