The Geometry of Yang-Mills Orbit Space on the Lattice

Details The Geometry of Yang-Mills Orbit Space on the Lattice The Geometry of Yang-Mills Orbit Space on the Lattice

2012-03-22

arxiv.org/abs/1203.5134v1

Physics

Mathematical Physics

13 pages, one figure, AMSTeX

Scientific paper

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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