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 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 ξ_I=\frac{T}{2σ(T)} and implies that the intrinsic width of the flux tube diverges as the deconfinement transition is approached.

1+10 pages, 1 figure. Typos corrected, added references and some minor changes. To appear in JHEP

References in corpus (11)

• Corrections to Nambu-Goto energy levels from the effective string action
• Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
• The Width of the Confining String in Yang-Mills Theory
• On the effective theory of long open strings
• Chromoelectric flux tubes in QCD
• Universal Subleading Spectrum of Effective String Theory
• Static potential, force, and flux-tube profile in 4D compact U(1) lattice gauge theory with the multi-level algorithm
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The Width of the Color Flux Tube at 2-Loop Order
• Linear broadening of the confining string in Yang-Mills theory at low temperature
• Universality of correction to Luescher term in Polchinski-Strominger effective string theories

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