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

2021/09/30 by Fabrizio Caristo, F. Caristo, Michele Caselle +4 · 15 citations
Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Deconfinement #Effective action #Effective field theory #Gauge theory #Ising model #Lattice field theory #Lorentz covariance #Lorentz transformation #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Renormalization group #Special unitary group #String cosmology #String theory #Theoretical physics #Yang–Mills theory #hep-lat #hep-th

paper · pdf · open access · doi:10.1007/jhep03(2022)115

published in Journal of High Energy Physics 2022(3) (Springer Nature) · 1+31 pages, 11 figures v2: references added, discussion of the numerical analysis expanded, matches published version

openalex created_date 2021/09/27 · openalex publication_date 2022/03/01 · arxiv created 2022/03/23 · arxiv updated 2022/03/24 · openalex updated_date 2026/08/05

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

Citations