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't Hooft loops and perturbation theory

Philippe de Forcrand·Biagio Lucini·David Noth
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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.

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Philippe de Forcrand, Biagio Lucini, David Noth. 2005-10-14. 't Hooft loops and perturbation theory. https://arxiv.org/abs/hep-lat/0510081

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