Abstract
We study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial S-matrix surviving even in the strict planar limit. In the process of two-particle scattering a zigzag is formed on the worldsheet. It leads to an interesting non-locality and exhibits some properties of a quantum black hole. Ordinarily, identical quantum particles do not carry identity. On the worldsheet they acquire off-shell identity due to strings attached. Identity implies complementarity. We discuss similarities and differences of the worldsheet scattering with the Toverline{T} deformation. We also propose a promising candidate for a supersymmetric model with integrable confining strings.
Highlights
In three and four dimensions, D = 3, 4, a wealth of information about the worldsheet scattering can be extracted from lattice studies of confining flux tubes ([18,19,20,21,22,23,24], see [25, 26] for reviews)
As far as confining strings are concerned we feel that the study of the worldsheet dynamics in QCD2 is a promising approach to shed light on their puzzles
Compared to confining strings in higher dimensions the theory appears to be less restricted and more amenable to the analytic study. This is due to the absence of the non-linearly realized Poincare symmetry and of the corresponding Goldstone bosons — transverse modes of a string
Summary
There one considers a compactification on a cylinder and measures a two-point correlator of Polyakov loops, OP = TrP ei P dσA , where the path P winds once around the spatial circle, and the trace is taken in the fundamental representation This operator creates a wound string state and by measuring the exponential falloff of the two-point function OP† (τ )OP (0) one determines its energy, see figure 1. These states describe a single massive particle on the worldsheet — the “free quark”. The flux lines stretch into opposite directions and terminate at the boundary charges, figure 2 These states correspond to operators (2.1) with a single fermion insertion
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