Phase transitions of Large-N two-dimensional Yang-Mills and generalized Yang-Mills theories in the double scaling limit

Abstract

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.

11 pages, to appear in Eur. Phys. J. C

References in corpus (1)

• Large-N limit of the two-dimensoinal Yang-Mills theory on surfaces with boundaries

Cited by in corpus (1)

• Non-Douglas-Kazakov phase transition of two-dimensional generalized Yang-Mills theories