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.

#### 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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http://xxx.lanl.gov/abs/1207.6523
Lattice Gauge Theory; effective string theory; Flux tube thickness
Michele Caselle; Paolo Grinza
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/130301
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