Flow Equations for Gluodynamics in the Coulomb Gauge

Details Flow Equations for Gluodynamics in the Coulomb Gauge Flow Equations for Gluodynamics in the Coulomb Gauge

2000-03-30

arxiv.org/abs/hep-ph/0003289v1

Phys.Rev. D62 (2000) 074001

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, REVTEX

Scientific paper

10.1103/PhysRevD.62.074001

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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