't Hooft loops and perturbation theory
Abstract
We show that high-temperature perturbation theory describes extremely well the area law of SU(N) spatial 't Hooft loops, or equivalently the tension of the interface between different Z_N vacua in the deconfined phase. For SU(2), the disagreement between Monte Carlo data and lattice perturbation theory for sigma(T)/T^2 is less than 2%, down to temperatures O(10) T_c. For SU(N), N>3, the ratios of interface tensions, (sigma_k/sigma_1)(T), agree with perturbation theory, which predicts tiny deviations from the ratio of Casimirs, down to nearly T_c. In contrast, individual tensions differ markedly from the perturbative expression. In all cases, the required precision Monte Carlo measurements are made possible by a simple but powerful modification of the 'snake' algorithm.
Keywords
Cite
@article{arxiv.hep-lat/0510081,
title = {'t Hooft loops and perturbation theory},
author = {Philippe de Forcrand and Biagio Lucini and David Noth},
journal= {arXiv preprint arXiv:hep-lat/0510081},
year = {2009}
}
Comments
presented at Lattice 2005 (topology and confinement), 6 pages, 7 figures