Confining Strings, Infinite Statistics and Integrability

Abstract

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking the high energy limit we identify a remarkably simple and novel integrable relativistic $N$-body system. Its symmetry algebra contains an additional "shadow" Poincaré subalgebra. This model describes the $N$-particle subsector of a $T\bar{T}$-deformed massless fermion.

arXiv comment6 pages, 1 figure; v2: minor typos corrected

References in corpus (47)

• Review of AdS/CFT Integrability: An Overview
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• SU(N) gauge theories at large N
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• Solving the Simplest Theory of Quantum Gravity
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• $T\bar{T}$ Partition Function from Topological Gravity
• The S-matrix Bootstrap I: QFT in AdS
• String Theory and Quark Confinement
• The Effective Theory of Long Strings
• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• String excitation energies in SU(N) gauge theories beyond the free-string approximation
• $T\bar{T}$-deformations in closed form
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Effective String Theory Revisited
• Natural Tuning: Towards A Proof of Concept
• Closed flux tubes and their string description in D=2+1 SU(N) gauge theories
• Evidence for a new particle on the worldsheet of the QCD flux tube
• 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
• On the effective theory of long open strings
• Flux Tube Spectra from Approximate Integrability at Low Energies
• New Integrable Structures in Large-N QCD
• One-Loop QCD Spin Chain and its Spectrum
• Flux Tube S-matrix Bootstrap
• $T\bar{T}$-Deformed Actions and (1,1) Supersymmetry
• Solving 2D QCD with an adjoint fermion analytically
• SU(N) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions
• Undressing Confining Flux Tubes with $T\bar{T}$
• Towards a Theory of the QCD String
• Looking for Integrability on the Worldsheet of Confining Strings
• Closed flux tubes in D=2+1 SU(N) gauge theories: dynamics and effective string description
• Yang--Mills Glueballs as Closed Bosonic Strings
• A Simple Worldsheet Black Hole
• The String Tension in Two Dimensional Gauge Theories
• Closed flux tubes in higher representations and their string description in D=2+1 SU(N) gauge theories
• On the mass of the world-sheet `axion' in SU(N) gauge theories in 3+1 dimensions
• The QCD $\beta$-function On The String Worldsheet
• An Example of Poincare Symmetry with a Central Charge
• 1+1 string with quarks at the ends revisited
• Example of a Poincare anomaly in relativistic quantum mechanics
• From QCD Strings to WZW

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• Symmetries and Strings of Adjoint QCD${}_2$
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Classical Integrability of the Zigzag Model
• 2d QCD and Integrability, Part I: 't Hooft model
• Quantization of the Zigzag Model
• Comments on 1+1d QCD with heavy adjoint quarks
• Deterministic Chaos vs Integrable Models
• RG Flows in 2d Chiral Gauge Theories
• Universal Deformations
• Classical string correspondence in $2$ and $3$ spacetime dimensions