Two-dimensional QCD as a string theory

1992/12/24 by David J. Gross · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90402-b

published as Nucl.Phys. B400 (1993) 161-180 · 24 pages

arxiv created 1992/12/24 · openalex publication_date 1993/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the \rm QCD₂ partition function on an arbitrary two dimensional Euclidean manifold. If this is related to a two-dimensional string theory then many of the coefficients of the 1\over N expansion must vanish. This is shown to be true to all orders, giving strong evidence for the existence of a string representation.

Citations

• A planar diagram theory for strong interactions

Cited by

• Gravitational scattering in the c = 1 matrix model
• The stringy representation of the D⩾3 Yang–Mills theory
• Glueball spectrum of pure Yang-Mills theory in2+1dimensions
• Glueball spectrum in a (1 + 1)-dimensional model for QCD