On the ratio of string tensions in the 3D Z_4 lattice gauge theory

Details On the ratio of string tensions in the 3D Z_4 lattice gauge theory On the ratio of string tensions in the 3D Z_4 lattice gauge theory

2007-10-02

arxiv.org/abs/0710.0488v1

PoSLAT2007:306,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, Presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany

Scientific paper

It was recently 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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