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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 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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http://hal.in2p3.fr/in2p3-00125049
Contributor : Dominique Girod <>
Submitted on : Wednesday, January 17, 2007 - 3:31:02 PM
Last modification on : Monday, December 16, 2019 - 4:02:14 PM

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M. Caselle, P. Grinza, N. Magnoli. Study of the flux tube thickness in 3d LGT's by means of 2d spin models. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2006, 11, pp.P11003. ⟨10.1088/1742-5468/2006/11/P11003⟩. ⟨in2p3-00125049⟩

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