Towards a Theory of the QCD String

Abstract

We construct a new model of four-dimensional relativistic strings with integrable dynamics on the worldsheet. In addition to translational modes this model contains a single massless pseudoscalar worldsheet field - the worldsheet axion. The axion couples to a topological density which counts the self-intersection number of a string. The corresponding coupling is fixed by integrability to $Q=\sqrt{\frac{7}{16\pi }}\approx 0.37$. We argue that this model is a member of a larger family of relativistic non-critical integrable string models. This family includes and extends conventional non-critical strings described by the linear dilaton CFT. Intriguingly, recent lattice data in $SU(3)$ and $SU(5)$ gluodynamics reveals the presence of a massive pseudoscalar axion on the worldsheet of confining flux tubes. The value of the corresponding coupling, as determined from the lattice data, is equal to $Q_L\approx 0.38\pm 0.04$.

33 pages, 7 figures

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• Galileons as Wess-Zumino Terms
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Cited by in corpus (31)

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• Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)
• Flux Tube S-matrix Bootstrap
• Bootstrapping Pions at Large $N$
• Undressing Confining Flux Tubes with $T\bar{T}$
• Excited mesons, baryons, glueballs and tetraquarks: Predictions of the Holography Inspired Stringy Hadron model
• Yang--Mills Glueballs as Closed Bosonic Strings
• Closed flux tubes in D=2+1 SU(N) gauge theories: dynamics and effective string description
• A Simple Worldsheet Black Hole
• SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
• Confining Strings, Infinite Statistics and Integrability
• On the spectrum and string tension of U(1) lattice gauge theory in 2+1 dimensions
• Baby Universes and Worldline Field Theories
• Classical Integrability of the Zigzag Model
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Four Loop Scattering in the Nambu-Goto Theory
• Glueball Spins in $D=3$ Yang-Mills
• The QCD $\beta$-function On The String Worldsheet
• Eight very excited spectra and one possible axion in SU(3) lattice gauge theory
• Ising string beyond Nambu-Goto
• Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance
• Planar quantum quenches: Computation of exact time-dependent correlation functions at large $N$
• Quantization of the Zigzag Model
• Effective long distance $q\bar{q}$ potential in holographic RG flows
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• From QCD Strings to WZW
• 3D Yang-Mills Glueballs vs Closed Effective Strings
• Constraining all possible Korteweg-de Vries type hierarchies
• Spinorial flux tubes in SO(N) gauge theories in 2+1 dimensions