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 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 language | English (US) |
---|---|
Pages (from-to) | 185-240 |
Number of pages | 56 |
Journal | Nuclear Physics B |
Volume | 485 |
Issue number | 1-2 |
DOIs | |
State | Published - Feb 3 1997 |
Keywords
- Coulomb-gauge Hamiltonian
- Lattice gauge theory
- QCD
- QCD Hamiltonian
- Quark potential
ASJC Scopus subject areas
- Nuclear and High Energy Physics