Study of the flux tube thickness in 3d LGT's by means of 2d spin models

Details Study of the flux tube thickness in 3d LGT's by means of 2d spin models Study of the flux tube thickness in 3d LGT's by means of 2d spin models

2006-07-03

arxiv.org/abs/hep-th/0607014v2

J.Stat.Mech.0611:P11003,2006

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 4 eps figures, LaTeX; reference added

Scientific paper

10.1088/1742-5468/2006/11/P11003

We study the flux tube thickness in the confining phase of the (2+1)d SU(2) Lattice Gauge Theory near the deconfining phase transition. Following the Svetitsky-Yaffe conjecture, we map the problem to the study of the correlation function in the two-dimensional spin model with Z_2 global symmetry, (i.e. the 2d Ising model) in the high-temperature phase. Using the form factor approach we obtain an explicit expression for this function and from it we infer the behaviour of the flux density of the original (2+1)d LGT. Remarkably enough the result we obtain for the flux tube thickness agrees (a part from an overall normalization) with the effective string prediction for the same quantity.

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