2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214640The 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. CHigh Energy Physics - Theorytext