Double Scaling String Theory of QCD in Two Dimensions

Abstract

We describe a novel double scaling limit of large N Yang-Mills theory on a two-dimensional torus and its relation to the geometry of the principal moduli spaces of holomorphic differentials.

7 pages; Based on invited talk given by R.J.S. at ``Recent Developments in String/M-Theory and Field Theory'', 37th International Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin-Schmoeckwitz, Germany, August 23--27 2004; to be published in Fortschritte der Physik

References in corpus (17)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Two Dimensional Gauge Theories Revisited
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Holomorphic Anomalies in Topological Field Theories
• Two Dimensional QCD is a String Theory
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
• Solitons in Noncommutative Gauge Theory
• Flux tube solutions in noncommutative gauge theories
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• Unstable Solitons in Noncommutative Gauge Theory
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• Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions
• Towards the solution of noncommutative $Y{M}_2$: Morita equivalence and large N-limit
• The instanton contributions to Yang-Mills theory on the torus: localization, Wilson loops and the perturbative expansion
• Two-Dimensional Yang-Mills Theory and Moduli Spaces of Holomorphic Differentials

Cited by in corpus (2)

• On Exponential corrections to the 1/N expansion in two-dimensional Yang Mills theory
• Genus expansion of matrix models and $\hslash$ expansion of KP hierarchy