1992•Unpublished venueRequires access

1 Gauge fixing and Gribov copies in pure Yang-Mills on a circle.

J. E. Hetrick

Abstract

In order to understand how gauge fixing can be affected on the lattice, we first study a simple model of pure Yang-mills theory on a cylindrical spacetime [SU(N) on S 1 × R] where the gauge fixed space is explicitly displayed. On the way, we find that different gauge fixing procedures lead to different Hamiltonians and spectra, which however coincide under a shift of states. The lattice version of the model is then compared. 1.

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Key concepts: Lattice gauge theory, Hamiltonian lattice gauge theory, Subspace topology, Lattice (music), Gauge fixing, Yang–Mills theory, Lattice field theory, Yang–Mills existence and mass gap