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" Poincar\'e subalgebra. This model describes the $N$-particle subsector of a $T\bar T$-deformed massless fermion.
Highlights
SUðNcÞ quantum chromodynamics (QCD) turns into a free string theory in the planar (Nc → ∞) limit [1]
For its maximally supersymmetric cousin the corresponding string theory has been identified as type IIB critical superstrings on AdS5 × S5 [2]
Asymptotic freedom implies that hard particle production is suppressed at high energies. This reasoning suggests that the violation of world sheet integrability may be a transient phenomenon dominated by intermediate energies, E ∼ ΛQCD
Summary
SUðNcÞ quantum chromodynamics (QCD) turns into a free string theory in the planar (Nc → ∞) limit [1]. The other possibility is to identify a nearby integrable model, and to obtain a description of the world sheet dynamics by performing a systematic perturbative expansion around this integrable theory. At low energies the world sheet degrees of freedom are translational Goldstone bosons of the nonlinearly realized Poincaresymmetry [5,28,29,30,31,32] Their low energy dynamics is well approximated by a classically integrable Nambu-Goto action. Asymptotic freedom implies that hard particle production is suppressed at high energies This reasoning suggests that the violation of world sheet integrability may be a transient phenomenon dominated by intermediate energies, E ∼ ΛQCD. As a consequence of confinement, the physical Hilbert space Hph is the subspace of Hex annihilated by all color charges, Z
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