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

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arxiv 2109.06212 v2 pith:S3UJNYHC submitted 2021-09-13 hep-th hep-lat

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

Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca This is my paper
classification hep-th hep-lat
keywords stringtheoryeffectivecorrectionsdescribesdimensionsmodelthree
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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

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Cited by 3 Pith papers

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  2. Yang-Mills Flux Tube in AdS II: Effective String Theory

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  3. Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories

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