Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions

Abstract

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures close to (and less than) the deconfinement one with the analytical constraints from renormalization-group arguments, from the exact integrability of the two-dimensional Ising model that describes the universality class of the critical point of the theory, from conformal perturbation theory, and from Lorentz invariance, we derive tight quantitative bounds on the corrections to the effective string action beyond the Nambu-Goto approximation. We show that these corrections are compatible with the predictions derived from a bootstrap analysis of the effective string theory, and have a value which does not allow to prove the Axionic String Ansatz for this model

arXiv comment1+31 pages, 11 figures v2: references added, discussion of the numerical analysis expanded, matches published version

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• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
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• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• The finite temperature ground state energy of the confining string in three-dimensional U(1) gauge theory