2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49986We consider two-dimensional nonlinear sigma model from the viewpoint of the holography, which has been applied to the study of the Yang-Mills theory, based on the non-critical string theory. We can see the renormalization group flows for both the nonlinear sigma model and the Yang-Mills theory at the same time, and the two theories are intimately related through a kind of dual relation of the coupling constants. We address the running behaviors of these coupling constants and also the asymptotic freedom of the Yang-Mills theory.22pages, 2 figures (eps files), written by LaTexHigh Energy Physics - Theorytext