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

M. Caselle·P. Grinza·N. Magnoli
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Abstract

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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M. Caselle, P. Grinza, N. Magnoli. 2006-07-12. Study of the flux tube thickness in 3d LGT's by means of 2d spin models. https://doi.org/10.1088/1742-5468%2F2006%2F11%2Fp11003

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