Abstract
We propose three different lattice operators to measure the intrinsic width ξ I of the chromoelectric flux tube in pure lattice gauge theories. In order to test these proposals we evaluate them for SU(2) and Ising LGTs in (2+1) dimensions in the vicinity of the deconfinement transition. Using dimensional reduction, we could perform the calculation in the effective 2d spin model using standard S-matrix techniques. We consistently found the same result for the three lattice operators. This result can be expressed in terms of the finite temperature string tension as follows \( {\xi_I}=\frac{T}{{2\sigma (T)}} \) and implies that the intrinsic width of the flux tube diverges as the deconfinement transition is approached.
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ArXiv ePrint: 1207.6523
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Caselle, M., Grinza, P. On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs. J. High Energ. Phys. 2012, 174 (2012). https://doi.org/10.1007/JHEP11(2012)174
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DOI: https://doi.org/10.1007/JHEP11(2012)174