The Abelianicity of Cooled SU(2) Lattice Configurations

Details The Abelianicity of Cooled SU(2) Lattice Configurations The Abelianicity of Cooled SU(2) Lattice Configurations

1996-11-01

arxiv.org/abs/hep-lat/9611002v1

Phys.Rev. D55 (1997) 4484-4487

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, Latex, uses psfig

Scientific paper

10.1103/PhysRevD.55.4484

We introduce a gauge-invariant measure of the local "abelianicity" of any given lattice configuration in non-abelian lattice gauge theory; it is essentially a comparison of the magnitude of field strength commutators to the magnitude of the field strength itself. This measure, in conjunction with the cooling technique, is used to probe the SU(2) lattice vacuum for a possible large-scale abelian background, underlying the local short-range field fluctuations. We do, in fact, find a substantial rise in abelianicity over 10 cooling steps or so, after which the abelianicity tends to drop again.

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