The Metric of Yang-Mills Orbit Space on the Lattice

Abstract

We find coordinates, the metric tensor, the inverse metric tensor and the Laplace-Beltrami operator for the orbit space of Hamiltonian SU(2) gauge theory on a finite, rectangular lattice. This is done using a complete axial gauge fixing. The Gribov problem can be completely solved, with no remaining gauge ambiguities.

Title is changed in journal. Now 19 pages, still one figure, AMSTeX

References in corpus (5)

• Planar Yang-Mills theory: Hamiltonian, regulators and mass gap
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
• Lattice QCD-2+1
• Gauge-Invariant Coordinates on Gauge-Theory Orbit Space
• Extremal Curves in 2+1-Dimensional Yang-Mills Theory

Cited by in corpus (2)

• A consistent measure for lattice Yang-Mills
• Measure and mass gap for generalized connections on hypercubic lattices