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Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD
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abstract
The $1/N$ expansion of the weak coupling phase of two-dimensional QCD on a sphere is constructed. It is demonstrated that the phase transition from the weak to the strong coupling phase is induced by instantons. A double scaling limit of the theory at the point of the phase transition is constructed, the value of string susceptibility is determined to be $\gamma_{str}=-1$. The possibility of instanton induced large $N$ phase transitions in four dimensional QCD is explored.
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Cited by 1 Pith paper
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The String Dual to Two-dimensional Yang-Mills Theory Revisited
Chiral two-dimensional Yang-Mills theory at large N is proposed to be dual to a stationary subsector of Gromov-Witten theory deformed by an area-dependent transposition interaction and an Omega-point compactification ...
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