Physical Review D
American Physical Society
QCD Hamiltonian, Gluon Sector, Coulomb Gauge, Gribov Problem, Głazek and Wilson Regularization Method
Extending previous QCD Hamiltonian studies, we present a new renormalization procedure which generates an effective Hamiltonian for the gluon sector. The formulation is in the Coulomb gauge where the QCD Hamiltonian is renormalizable and the Gribov problem can be resolved. We utilize elements of the Głazek and Wilson regularization method but now introduce a continuous cut-off procedure which eliminates non-local counterterms. The effective Hamiltonian is then derived to second order in the strong coupling constant. The resulting renormalized Hamiltonian provides a realistic starting point for approximate many-body calculations of hadronic properties for systems with explicit gluon degrees of freedom.
Robertson, David G.; Swanson, E.S.; Szczepaniak, A.P.; Ji, C.R.; and Cotanch, S.R., "Renormalized Effective QCD Hamiltonian: Gluonic Sector" (1999). Physics Faculty Scholarship. 16.
Robertson, D.G., Swanson, E.S., Szczepaniak, A.P., Ji, C.R., & Contach, S.R. (1999). Renormalized effective QCD Hamiltonian: Gluonic sector. Pysical Review D 59(7). DOI: 10.1103/PhysRevD.59.074019
Copyright 1999 Physical Review D
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