Renormalization of an effective Light-Cone QCD-inspired theory for the Pion and other Mesons

Abstract

The renormalization of the effective QCD-Hamiltonian theory for the quark-antiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed point-Hamiltonian brings the renormalization conditions as well as the counterterms that render the theory finite. The approach is renormalization group invariant. The parameters of the renormalized effective QCD-Hamiltonian comes from the pion mass and radius, for a given constituent quark mass. The 1s and excited 2s states of $\bar{u}q$ are calculated as a function of the mass of the quark $q$ being s, c or b, and compared to the experimental values.

Comments: 39 pages, 10 figures