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Hamiltonian formulation of QCD and nucleon mass 
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#1
Mar1414, 04:18 AM

Sci Advisor
P: 5,366

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? 


#2
Mar1514, 09:08 AM

P: 305

The question about nucleon masses is rather complicated by itself, especially because it is a nonperturbative 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 quarkgluon interaction and the gluongluongluon or gluongluongluongluon 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 spinspin 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/hepph/0412098v2.pdf In section II. I hope this is useful. 


#3
Mar1514, 01:03 PM

Sci Advisor
P: 5,366

What I am looking for us an analysis like http://arxivweb3.library.cornell.ed...310.1797v1.pdf for the nucleon mass. 


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