Undressing Confining Flux Tubes with $T\bar{T}$

Abstract

Lattice QCD simulations provide crucial information about the worldsheet dynamics of confining strings (flux tubes). An accurate extraction of the worldsheet $S$-matrix from lattice spectra requires accounting for polarization effects. Approximate integrability of the low energy worldsheet theory makes it possible to apply the Thermodynamic Bethe Ansatz to incorporate polarization effects at all orders in the number of windings and at the leading order in the derivative expansion. However, a systematic application of this technique in the presence of non-integrable effects and for multiparticle states becomes increasingly challenging. We point out that a recently understood equivalence between gravitational dressing and $T\bar{T}$ deformation provides a fully systematic and straightforward recipe to incorporate the leading polarization effects in the presence of an arbitrary inelasticity and for any number of particles. We illustrate this technique with several examples.

arXiv commentadded some comments in the introduction, matches published version

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• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Flux Tube S-matrix Bootstrap
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• $T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Solving a family of $T\bar{T}$-like theories
• Confining Strings, Infinite Statistics and Integrability
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• $T\bar{T}$ deformation of classical Liouville field theory
• Ising string beyond Nambu-Goto
• Excitations of Ising Strings on a Lattice
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• From QCD Strings to WZW
• Free energy from forward scattering in 1+1d
• A $T\bar{T}$-like deformation of the Skyrme model and the Heisenberg model of nucleon-nucleon scattering