Lattice Coulomb Hamiltonian and Static Color-Coulomb Field
Abstract
The lattice Coulomb-gauge hamiltonian is derived from the transfer matrix of Wilson's Euclidean lattice gauge theory. The restriction to a fundamental modular region (no Gribov copies) is implemented in the hamiltonian formalism. The lattice form of Gauss's law is satisfied identically, and the static Coulombic color-electric field is calculated in leading order. It produces an interaction energy between an external quark-anti-quark pair that grows at large r like r5/3. Bound state equations for hadrons in this confining potential are derived in leading order.Keywords
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