Speaker
Description
The canonical Hamiltonian of QCD in the front form involves severe small-$x$ divergences that impede access to the logarithmically scale-dependent dynamics of hadronic constituents. We present a method for circumventing these divergences, thus opening a pathway for the systematic computation of the Hamiltonians for quarks and gluons using the renormalization group procedure for effective particles (RGPEP). Our approach involves regulating the theory using a tiny gluon mass parameter and an auxiliary scalar octet field whose quanta correspond to the longitudinal gluons. We first explain how the severe small-$x$ divergences can cancel out in the quark and gluon scattering amplitudes in the femtouniverse despite our introduction of mass for gluons. Then we discuss the derivation of bound-state eigenvalue problems using the RGPEP. The effective scale-dependent Hamiltonian of QCD is meant to be approached as the tiny gluon mass reaches zero.
