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

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

2000-04-21

arxiv.org/abs/hep-th/0004146v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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