Phase transitions of large-N two-dimensional Yang–Mills and generalized Yang–Mills theories in the double scaling limit
School of Physics, University of Tehran, North Karegar Ave., Tehran, Iran
2 Department of Physics, Alzahra University, Tehran, 1993891167, Iran
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Published online: 24 May 2006
The large-N behavior of Yang–Mills and generalized Yang–Mills theories in the double-scaling limit is investigated. By the double-scaling limit, it is meant that the area of the manifold on which the theory is defined, is itself a function of N. It is shown that phase transitions of different orders occur, depending on the functional dependence of the area on N. The finite-size scalings of the system are also investigated. Specifically, the dependence of the dominant representation on A, for large but finite N is determined.
© Springer-Verlag, 2006