Reinterpretation of gluon condensate in dynamics of hadronic constituents

Abstract: We describe an approximate quantum mechanical picture of hadrons in Minkowski space in the context of a renormalization group procedure for effective particles (RGPEP) in a light-front Hamiltonian formulation of QCD. The picture suggests that harmonic oscillator potentials for constituent quarks in lightest mesons and baryons may result from the gluon condensation inside hadrons, rather than from an omnipresent gluon condensate in vacuum. The resulting boost-invariant constituent dynamics at the renormalization group momentum scales comparable with Lambda_QCD, is identified using gauge symmetry and a crude 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 available option for a systematic analysis in QCD, in which the new picture may be treated as a candidate for a first approximation. This option is outlined by embedding our presentation of the crude and simple hadron picture in the context of RGPEP and a brief outlook on hadron phenomenology. Several appendices describe elements of the formalism required for actual calculations in QCD, including an extension of RGPEP beyond perturbation theory.