Two-dimensional QCD is a string theory

1993/01/18 by David J. Gross, Washington Taylor · 356 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Non-critical string theory #Partition function (quantum field theory) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Riemann surface #Series (stratigraphy) #String (physics) #String field theory #Surface (topology) #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90403-c

published in Nuclear Physics B 400(1-3), 181-208 (Elsevier BV) · 27 pages, PUPT-1376 LBL-33458

arxiv created 1993/01/18 · openalex publication_date 1993/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The partition function of two dimensional QCD on a Riemann surface of area A is expanded as a power series in 1/N and A. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD has a simple interpretation as a closed string theory.

Citations

• Two-dimensional QCD as a string theory

Cited by

• Cut-and-join operators and N = 4 super Yang-Mills
• Lattice QCD as a theory of interacting surfaces
• Kaluza-Klein Approach to QCD
• Surface-invariants in 2D classical Yang-Mills theory
• Double scaling string theory of QCD in two dimensions
• Localization on the D-brane, two-dimensional gauge theory and matrix models
• Equation of state of two-dimensional Yang-Mills theory
• Large-N behavior of the Wilson loops of generalized two-dimensional Yang–Mills theories
• Tensor models, Kronecker coefficients and permutation centralizer algebras
• Interacting systems and wormholes
• Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
• One-loop effective lagrangian for an extension of the standard model with a heavy charged scalar singlet
• Black hole attractors and the topological string
• Genus expansion of matrix models and ℏ expansion of KP hierarchy
• A note on knot invariants and q -deformed 2d Yang–Mills
• Large-N transitions for generalized Yang–Mills theories in 1+1 dimensions
• Character and determinant formulae of quasifinite representation of theW 1+∞ algebra
• Smooth gauge strings and lattice Yang–Mills theories
• Nontorus link from topological vertex
• Geometrical string and dual spin systems
• Diagrams for symmetric product orbifolds
• Comments on operators with large spin
• String calculation of QCD Wilson loops on arbitrary surfaces