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Physics Faculty Scholarship

Coulomb Gauge

Publication Year

Articles 1 - 3 of 3

Full-Text Articles in Physics

Renormalized Effective Qcd Hamiltonian: Gluonic Sector, David G. Robertson, E.S. Swanson, A.P. Szczepaniak, C.R. Ji, S.R. Cotanch Mar 1999

Renormalized Effective Qcd Hamiltonian: Gluonic Sector, David G. Robertson, E.S. Swanson, A.P. Szczepaniak, C.R. Ji, S.R. Cotanch

Physics Faculty Scholarship

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.


Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson Jun 1998

Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson

Physics Faculty Scholarship

Continuing our previous QCD Hamiltonian studies in the gluonic and quark sectors, we describe a new renormalization procedure which generates an effective Hamiltonian. The formulation, which is in the Coulomb gauge, provides an improved framework for investigating hadron structure.


Θ Vacua In The Light-Cone Schwinger Model, Alex C. Kalloniatis, David G. Robertson Jul 1996

Θ Vacua In The Light-Cone Schwinger Model, Alex C. Kalloniatis, David G. Robertson

Physics Faculty Scholarship

We discuss the bosonized Schwinger model in light-cone quantization, using discretization as an infrared regulator. We consider both the light-cone Coulomb gauge, in which all gauge freedom can be removed and a physical Hilbert space employed, and the light-cone Weyl (temporal) gauge, in which the Hilbert space is unphysical and a Gauss law operator is used to select a physical subspace. We describe the different ways in which the θ vacuum is manifested depending on this choice of gauge, and compute the θ-dependence of the chiral condensate in each case.