Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-09-23
Nucl.Phys.Proc.Suppl. 73 (1999) 542-544
Physics
High Energy Physics
High Energy Physics - Lattice
LATTICE98(confine), 3 pages, 1 eps figure
Scientific paper
10.1016/S0920-5632(99)85131-7
Analytic methods for Abelian projection are developed, and a number of results related to string tension measurements are obtained. It is proven that even without gauge fixing, Abelian projection yields string tensions of the underlying non-Abelian theory. Strong arguments are given for similar results in the case where gauge fixing is employed. The subgroup used for projection need only contain the center of the gauge group, and need not be Abelian. While gauge fixing is shown to be in principle unnecessary for the success of Abelian projection, it is computationally advantageous for the same reasons that improved operators, e.g., the use of fat links, are advantageous in Wilson loop measurements.
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