Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-07-27
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages. Invited talk at ISATQP, June 11-16, Shanxi University, China
Scientific paper
It will be described how to uniquely fix the gauge using Coulomb gauge fixing, avoiding the problem of Gribov copies. The fundamental modular domain, which represents a one-to-one representation of the set of gauge invariant degrees of freedom, is a bounded convex subset of the trans- verse gauge fields. Boundary identifications are the only remnants of the Gribov copies, and carry all the information about the topology of the Yang-Mills configuration space. Conversely, the known topology can be shown to imply that (on a set of measure zero on the boundary) some points of the boundary coincide with the Gribov horizon. For the low-lying energies, wavefunctionals can be shown to spread out "across" certain parts of these boundaries. This is how the topology of Yang-Mills configuration space has an essential influence on the low-lying spectrum, in a situation where these non- perturbative effects are not exponentially suppressed. This write-up is a short summary, with adequate references, where details on most of the material I have presented can be found. However, not published before, is a new observation concerning Henyey's gauge copies.
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