Approach to relativistic quark confinement potentials from QCD

Abstract

We present an attempt towards constructing relativistic quark-gluon quasi-potentials from QCD using Unitary Clothing Transformations (UCT) approach. The brief review of the UCT method is given. Starting from a simplified model of QCD hamiltonian (H), we define the 'color-clothed' representation (CCR) of H. In this representaion, it is required that only color-singlet states are the eigenstates of the H. In CCR, H contains the family of quantum relativistic potentials acting between 'color clothed' quarks and gluons. Simultaneously, newly defined quarks acquire new masses (expected to be close to constituent masses), and new renormalized couplings. Properties of 'color clothed' quark-gluon potentials are consistent with the concept of 'color confinement' in a natural way.