The confining string beyond the free-string approximation in the gauge dual of percolation

Abstract

We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature string tension, when expressed by means of adimensional variables, are nicely described by a unique scaling function. We calculate the first few terms of the string tension up to order $T^6$ and compare to different theoretical predictions. We obtain unambiguous evidence that the coefficients of $T^2$ and $T^4$ terms coincide with those of the Nambu-Goto string, as expected, while the $T^6$ term strongly differs and is characteristic of the universality class of this specific gauge theory.

13 pages, 3 figures

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• On the effective theory of long open strings
• Effective string description of confining flux tubes
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• Introductory lectures to large-N QCD phenomenology and lattice results
• Effective String Theory and Nonlinear Lorentz Invariance
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• Spectrum of the QCD flux tube in 3d SU(2) lattice gauge theory
• Zero Point Energy of Renormalized Wilson Loops
• The static quark potential from a multilevel algorithm for the improved gauge action
• Three dimensional finite temperature SU(3) gauge theory in the confined region and the string picture
• A new approach to the study of effective string corrections in LGTs
• Perturbative width of open rigid strings
• Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action