The Metric of Yang-Mills Orbit Space on the Lattice
classification
🧮 math-ph
hep-lathep-thmath.DGmath.MP
keywords
gaugemetriclatticeorbitspacetensorambiguitiesaxial
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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.
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