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.
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Alimohammadi, M., Khorrami, M. Phase transitions of large-N two-dimensional Yang–Mills and generalized Yang–Mills theories in the double scaling limit. Eur. Phys. J. C 47, 507–512 (2006). https://doi.org/10.1140/epjc/s2006-02556-0
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DOI: https://doi.org/10.1140/epjc/s2006-02556-0