Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD

Details Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD

1994-04-01

arxiv.org/abs/hep-th/9404004v2

Nucl.Phys. B429 (1994) 50-74

Physics

High Energy Physics

High Energy Physics - Theory

24 pages Some changes have been made and references added

Scientific paper

10.1016/S0550-3213(94)80041-3

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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