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arXiv · hep-ph/0003289

Flow Equations for Gluodynamics in the Coulomb Gauge

Elena Gubankova·Chueng-Ryong Ji·Stephen R. Cotanch
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Abstract

A systematic procedure to consistently formulate a field theoretical, QCD bound state problem with a fixed number of constituents is outlined. The approach entails applying the Hamiltonian flow equations, which are a set of continuous unitary transformations, to a QCD motivated Hamiltonian with a confining interaction. The method is developed in detail for gluodynamics in the Coulomb gauge to obtain an effective block-diagonal Hamiltonian appropriate to a reduced Fock space with fixed number of dynamical gluons. Standard many-body techniques are used to numerically diagonalize this Hamiltonian in a constituent two gluon Fock space. The calculated gluon condensates and glueball masses are in good agreement with QCD sum rule and lattice results.

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Elena Gubankova, Chueng-Ryong Ji, Stephen R. Cotanch. 2000-03-30. Flow Equations for Gluodynamics in the Coulomb Gauge. https://doi.org/10.1103/physrevd.62.074001

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