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

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 <epsilon sigma sigma> 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.

13 pages, 4 eps figures, LaTeX; reference added

References in corpus (2)

• The partition function of interfaces from the Nambu-Goto effective string theory
• Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory

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• On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs
• Flux tube delocalization at the deconfinement point
• Finite temperature behaviour of glueballs in Lattice Gauge Theories
• Form factor and width of a quantum string
• Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems