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arXiv · hep-th/9603203

Lattice Coulomb Hamiltonian and Static Color-Coulomb Field

Daniel Zwanziger
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Abstract

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 $γ_0$ is a thermodynamic parameter that ultimately sets the scale for hadronic mass, and which is related to the bare coupling constant $g_0$ 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.

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Daniel Zwanziger. 1996-06-24. Lattice Coulomb Hamiltonian and Static Color-Coulomb Field. https://doi.org/10.1016/s0550-3213(96)00566-4

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