Quantization of the Zigzag Model

Abstract

The zigzag model is a relativistic integrable $N$-body system describing the leading high-energy semiclassical dynamics on the worldsheet of long confining strings in massive adjoint two-dimensional QCD. We discuss quantization of this model. We demonstrate that to achieve a consistent quantization of the model it is necessary to account for the non-trivial geometry of phase space. The resulting Poincaré invariant integrable quantum theory is a close cousin of $T\bar{T}$ deformed models.

24 pages, 4 figures

References in corpus (5)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Solving the Simplest Theory of Quantum Gravity
• Anyons from Strings
• Classical Integrability of the Zigzag Model

Cited by in corpus (1)

• Deterministic Chaos vs Integrable Models