K-string tensions at finite temperature and integrable models

Details K-string tensions at finite temperature and integrable models K-string tensions at finite temperature and integrable models

2007-10-18

arxiv.org/abs/0710.3522v1

JHEP0711:075,2007

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 7 figures, 1 table

Scientific paper

10.1088/1126-6708/2007/11/075

It has recently been pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low temperature region is constant up to terms of order T^3. Here we argue that, at least in a three-dimensional Z_4 gauge model, the above ratios are constant in the whole confining phase. This result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable two-dimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition.

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