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We describe an approximate quantum mechanical picture of hadrons in Minkowskispace in the context of a renormalization group procedure for effectiveparticles (RGPEP) in a light-front Hamiltonian formulation of QCD. The picturesuggests that harmonic oscillator potentials for constituent quarks in lightestmesons and baryons may result from the gluon condensation inside hadrons,rather than from an omnipresent gluon condensate in vacuum. The resultingboost-invariant constituent dynamics at the renormalization group momentumscales comparable with Lambda_QCD, is identified using gauge symmetry and acrude mean-field approximation for gluons. Besides constituent quark models,the resulting picture also resembles models based on AdS/QCD ideas. However,our hypothetical picture significantly differs from the models by the availableoption for a systematic analysis in QCD, in which the new picture may betreated as a candidate for a first approximation. This option is outlined byembedding our presentation of the crude and simple hadron picture in thecontext of RGPEP and a brief outlook on hadron phenomenology. Severalappendices describe elements of the formalism required for actual calculationsin QCD, including an extension of RGPEP beyond perturbation theory.

Reinterpretation of gluon condensate in dynamics of hadronic constituents