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.
Nuclear Physics B
- Pub Date:
- February 1997
- High Energy Physics - Theory;
- High Energy Physics - Lattice
- 110 pages + 1 fig., uuencoded compressed tar-file (190 kb) revised and shortened for readability. Technical derivations relegated to appendices. Concepts clarified in Introduction and Conclusion. One figure added