Random percolation as a gauge theory

Gliozzi, F. and Lottini, S. and Panero, Marco and Rago, A. (2005) Random percolation as a gauge theory. Nuclear Physics B, 719 (3). pp. 255-274. ISSN 05503213 (Preprint)

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Official URL: http://doi.org/10.1016/j.nuclphysb.2005.04.021

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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 16 Jul 2018 11:48
URI: http://dair.dias.ie/id/eprint/162

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