Lattice Coulomb hamiltonian and static color-Coulomb field

Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory, wherein the lattice form of Gauss's law is satisfied identically. The restriction to a fundamental modular region (no Gribov copies) is implemented in an effective hamiltonian by the addition of a "horizon function" G to the lattice Coulomb-gauge hamiltonian. Its coefficient γ0 is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant g0 by a "horizon condition". This condition determines the low momentum behavior of the (ghost) propagator that transmits the instantaneous longitudinal color-electric field, and thereby provides for a confinement-like feature in leading order in a new weak-coupling expansion.

    Original languageEnglish (US)
    Pages (from-to)185-240
    Number of pages56
    JournalNuclear Physics B
    Issue number1-2
    StatePublished - Feb 3 1997


    • Coulomb-gauge Hamiltonian
    • Lattice gauge theory
    • QCD
    • QCD Hamiltonian
    • Quark potential

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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