# Hamiltonian formulation of QCD and nucleon mass

by tom.stoer
Tags: formulation, hamiltonian, mass, nucleon
 Sci Advisor P: 5,437 Hello, there are several papers on QCD in Hamiltonian formulation, especially in Coulomb gauge. Unfortunately the Hamiltonian H is rather formel and highly complex. Question: is there a paper discussing the contribution of individual terms of H to the nucleon mass?
 P: 321 The question about nucleon masses is rather complicated by itself, especially because it is a non-perturbative problem. I don't know if there is any simple way to related any term in the QCD Hamiltonian to the nucleon mass. I would say that the most relevant terms are the quark-gluon interaction and the gluon-gluon-gluon or gluon-gluon-gluon-gluon interactions. This is because the nucleon (or in general hadron) masses are mainly given by binding energy rather then the actual quark masses. However, if you want a more phenomenological way of deriving (with a pretty good accuracy) the mass of the hadrons you can take a look at the "Constituent quark and spin-spin interaction" model. I think that the original reference should be: http://journals.aps.org/prd/abstract...hysRevD.12.147 However, there is a pretty good explanation of that in: http://arxiv.org/pdf/hep-ph/0412098v2.pdf In section II. I hope this is useful.