Continuum and Lattice Coulomb-Gauge Hamiltonian

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, Latex file, no figures, Lectures given at the NATO ASI on Confinement, Duality and Non-perturbative Aspects of QCD,

Scientific paper

We review the canonical quantization of continuum Yang-Mills theory, and
derive the continuum Coulomb-gauge Hamiltonian by a simplification of the
Christ-Lee method. We then analogously derive, by a simple and elementary
method, the lattice Coulomb-gauge Hamiltonian in the minimal Coulomb gauge (and
in other Coulomb gauges) from the known Kogut-Susskind Hamiltonian.

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