We propose three different lattice operators to measure the intrinsic width \xi_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.
On the intrinsic width of the chromoelectric flux tube in finite temperature LGTs.
CASELLE, Michele;
2012-01-01
Abstract
We propose three different lattice operators to measure the intrinsic width \xi_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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