Fractal Dimension of Gauge-fixing Defects

Details Fractal Dimension of Gauge-fixing Defects Fractal Dimension of Gauge-fixing Defects

1994-02-14

arxiv.org/abs/hep-lat/9402009v2

Phys.Lett. B333 (1994) 452-456

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages (A page of additional discussion has been inserted into the original version. This is the final version accepted for

Scientific paper

10.1016/0370-2693(94)90166-X

The fractal dimension $D_f$ of sites resisting Landau or maximal Abelian(MA) gauge fixing in lattice $SU(3)$ gluodynamics is defined and computed. In Landau gauge such sites clump into $D_f\sim 1$ clusters in the confining phase. In the finite temperature phase their dimensionality drops to $D_f < 1$, that is, clustering seems to dissipate. In contrast, MA gauge resistant sites fail to exhibit a notable tendency to cluster at any temperature.

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