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The Metric of Yang-Mills Orbit Space on the Lattice

Mathematical Physics 2015-06-04 v2 High Energy Physics - Lattice High Energy Physics - Theory Differential Geometry math.MP

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.

Keywords

Cite

@article{arxiv.1203.5134,
  title  = {The Metric of Yang-Mills Orbit Space on the Lattice},
  author = {M. Laufer and P. Orland},
  journal= {arXiv preprint arXiv:1203.5134},
  year   = {2015}
}

Comments

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