English

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

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0004146,
  title  = {Nonlinear sigma model and Yang-Mills theory through non-critical string},
  author = {Kazuo Ghoroku},
  journal= {arXiv preprint arXiv:hep-th/0004146},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T14:57:44.224Z