Abstract
Three-dimensional bond or site percolation theory on a lattice can be
interpreted as a gauge theory in which the Wilson loops are viewed as counters
of topological linking with random clusters. Beyond the percolation threshold
large Wilson loops decay with an area law and show the universal shape effects
due to flux tube quantum fluctuations like in ordinary confining gauge
theories. Wilson loop correlators define a non-trivial spectrum of physical
states of increasing mass and spin, like the glueballs of ordinary gauge
theory. The crumbling of the percolating cluster when the length of one
periodic direction decreases below a critical threshold accounts for the finite
temperature deconfinement, which belongs to 2-D percolation universality class.
Original language | English |
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Pages (from-to) | 255-274 |
Number of pages | 0 |
Journal | Nucl.Phys.B |
Volume | 719 |
Issue number | 0 |
Publication status | Published - 14 Feb 2005 |
Keywords
- cond-mat.stat-mech
- hep-lat
- hep-th