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Paper IPM / P / 6599  


Abstract:  
Using the standard saddlepoint method, we find an explicit relation for the
largeN limit of the free energy of an arbitrary generalized
2D YangMills
theory in the weak (AA_{c}) region, we
investigate carefully the specific fourth Casimir theory, and show that the
ordinary integral equation of the density function is not adequate to find the
solution. There exist, however, another equation which restricts the
parameters. So one can find the free energy in the strong
region and show that the theory has a thirdorder phase transition.
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