  Front-Form Hamiltonian dynamics provides a framework in which QCD's vacuum is
simple and states are boost invariant. However, canonical expressions are
divergent and must be regulated in order to establish well-defined eigenvalue
problems. The Renormalization Group Procedure for Effective Particles (RGPEP)
provides a systematic way of finding counterterms and obtaining regulated
Hamiltonians. Among its achievements is the description of asymptotic freedom,
with a running coupling constant defined as the coefficient in front of the
three gluon-vertex operators in the regulated Hamiltonian. However, the
obtained results need a deeper understanding, since the coupling exhibits a
finite dependence on the regularization functions, at least at the third-order
term in the perturbative expansion. Here we present a similar derivation using
a different regularization scheme based on massive gluons. The procedure can be
extended to incorporate contributions from virtual fermions.

High Energy Physics - Phenomenology