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Continuum and Lattice Coulomb-Gauge Hamiltonian

1997/10/20 by Daniel Zwanziger, Zwanziger, Daniel
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9710157

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

arxiv created 1997/10/20 · openalex publication_date 1997/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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