Flux Tube Spectra from Approximate Integrability at Low Energies

Abstract

We provide a detailed introduction to a method we recently proposed for calculating the spectrum of excitations of effective strings such as QCD flux tubes. The method relies on the approximate integrability of the low energy effective theory describing the flux tube excitations and is is based on the Thermodynamic Bethe Ansatz (TBA). The approximate integrability is a consequence of the Lorentz symmetry of QCD. For excited states the convergence of the TBA technique is significantly better than that of the traditional perturbative approach. We apply the new technique to the lattice spectra for fundamental flux tubes in gluodynamics in D=3+1 and D=2+1, and to k-strings in gluodynamics in D=2+1. We identify a massive pseudoscalar resonance on the world sheet of the confining strings in SU(3) gluodynamics in D=3+1, and massive scalar resonances on the world sheet of k=2,3 strings in SU(6) gluodynamics in D=2+1.

44 pages, 19 figures, v2: references added, to appear in special issue of JETP dedicated to Valery Rubakov's 60th birthday

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• Solving the Simplest Theory of Quantum Gravity
• A relativistic, model-independent, three-particle quantization condition
• Effective String Theory Revisited
• 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
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Cited by in corpus (21)

• $T\bar{T}$-deformed 2D Quantum Field Theories
• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• Looking for Integrability on the Worldsheet of Confining Strings
• Yang--Mills Glueballs as Closed Bosonic Strings
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• On the spectrum and string tension of U(1) lattice gauge theory in 2+1 dimensions
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Spectrum of Trace Deformed Yang-Mills Theories
• Ising string beyond Nambu-Goto
• Excitations of Ising Strings on a Lattice
• Effective long distance $q\bar{q}$ potential in holographic RG flows
• String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds
• From QCD Strings to WZW
• Induced QCD II: Numerical results
• 3D Yang-Mills Glueballs vs Closed Effective Strings
• Intermediate-Distance String Effects in Wilson Loops\\ via Boundary Action
• Free energy from forward scattering in 1+1d