Continuum and Lattice Coulomb-Gauge Hamiltonian

Abstract

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.

21 pages, Latex file, no figures, Lectures given at the NATO ASI on Confinement, Duality and Non-perturbative Aspects of QCD, Cambridge, UK, June 23 - July 4, 1997