Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-28
Phys.Rev. D49 (1994) 6720-6766
Physics
High Energy Physics
High Energy Physics - Theory
56 pages (REVTEX), Report OSU-NT-94-28. (figures not included, available via anaonymous ftp from pacific.mps.ohio-state.edu in
Scientific paper
10.1103/PhysRevD.49.6720
In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum Electrodynamics: namely, a combination of weak-coupling diagrams and many-body quantum mechanics. The key to eliminating necessarily nonperturbative effects is the use of a bare Hamiltonian in which quarks and gluons have nonzero constituent masses rather than the zero masses of the current picture. The use of constituent masses cuts off the growth of the running coupling constant and makes it possible that the running coupling never leaves the perturbative domain. For stabilization purposes an artificial potential is added to the Hamiltonian, but with a coefficient that vanishes at the physical value of the coupling constant. The weak-coupling approach potentially reconciles the simplicity of the Constituent Quark Model with the complexities of Quantum Chromodynamics. The penalty for achieving this perturbative picture is the necessity of formulating the dynamics of QCD in light-front coordinates and of dealing with the complexities of renormalization which such a formulation entails. We describe the renormalization process first using a qualitative phase space cell analysis, and we then set up a precise similarity renormalization scheme with cutoffs on constituent momenta and exhibit calculations to second order. We outline further computations that remain to be carried out. There is an initial nonperturbative but nonrelativistic calculation of the hadronic masses that determines the artificial potential, with binding energies required to be fourth order in the coupling as in QED. Next there is a calculation of the leading radiative corrections to these masses, which requires our renormalization program. Then the real struggle of finding the right extensions to perturbation theory to study the strong-coupling behavior of bound states can begin.
Glazek S.
Harindranath Avaroth
Perry Robert J.
Walhout T.
Wilson Kenneth G.
No associations
LandOfFree
Nonperturbative Light-Front QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonperturbative Light-Front QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperturbative Light-Front QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-33303