Nonlinear sigma model and Yang-Mills theory through non-critical string

2000/04/21 by Kazuo Ghoroku, Ghoroku, Kazuo
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0004146

22pages, 2 figures (eps files), written by LaTex

arxiv created 2000/04/21 · arxiv updated 2009/11/30

Abstract

We 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.

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