Instanton induced large N phase transitions in two-dimensional and four-dimensional QCD

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 and a calculation is performed that shows that these are unlikely.

gauge field theory: U(N)
dimension: 2
field theory: instanton
critical phenomena
scaling
dimension: 4
expansion 1/N

References(21)

Figures(0)

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