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25 April 2024
 
  » arxiv » hep-ph/0003289

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Flow Equations for Gluodynamics in the Coulomb Gauge
Elena Gubankova ; Chueng-Ryong Ji ; Stephen R. Cotanch ;
Date 30 Mar 2000
Journal Phys.Rev. D62 (2000) 074001
Subject hep-ph
AbstractA 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.
Source arXiv, hep-ph/0003289
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