Large N Phase Transitions and Multi-Critical Behaviour in Generalized 2D QCD

Abstract

Using matrix model techniques we investigate the large N limit of generalized 2D Yang-Mills theory. The model has a very rich phase structure. It exhibits multi-critical behavior and reveals a third order phase transitions at all genera besides {\it torus}. This is to be contrasted with ordinary 2D Yang-Mills which, at large N, exhibits phase transition only for spherical topology.

CERN-TH.7390/94 and TAUP-2191-94, 6pp, LaTeX

References in corpus (10)

• Two Dimensional Gauge Theories Revisited
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• Twists and Wilson Loops in the String Theory of Two Dimensional QCD
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Cited by in corpus (15)

• Updating QCD${}_2$
• Open Wilson Lines and Group Theory of Noncommutative Yang-Mills Theory in Two Dimensions
• Uniqueness of the minimum of the free energy of the 2D Yang-Mills theory at large N
• On the phase structure of two--dimensional generalized Yang--Mills theories
• The Master Field in Generalised $QC{D}_2$
• Large-N behavior of the Wilson loops of generalized two-dimensional Yang-Mills theories
• More on Phase Structure of Nonlocal 2D Generalized Yang-Mills Theories (nlgYM${}_2$'s)
• Field Strength Correlators For 2D Yang-Mills Over Riemann Surfaces
• Phase transitions of Large-N two-dimensional Yang-Mills and generalized Yang-Mills theories in the double scaling limit
• Lattice QCD as a theory of interacting surfaces
• Generalized simplicial chiral models
• Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere
• Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface
• Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary
• Lattice defect networks in 2d Yang-Mills