Zooming-in on the SU(2) fundamental domain

Details Zooming-in on the SU(2) fundamental domain Zooming-in on the SU(2) fundamental domain

1993-10-05

arxiv.org/abs/hep-lat/9310005v2

Nucl.Phys. B417 (1994) 215-237

Physics

High Energy Physics

High Energy Physics - Lattice

19p., 6 figs. appended in PostScript (uuencoded), preprint INLO-PUB-12/93. Revision: ONLY change is a much more economic PostS

Scientific paper

10.1016/0550-3213(94)90544-4

For SU(2) gauge theories on the three-sphere we analyse the Gribov horizon and the boundary of the fundamental domain in the 18 dimensional subspace that contains the tunnelling path and the sphaleron and on which the energy functional is degenerate to second order in the fields. We prove that parts of this boundary coincide with the Gribov horizon with the help of bounds on the fundamental modular domain.

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