%0 Journal Article
%T Beta-functions in Yang-Mills Theory from Non-critical String
%A Kazuo Ghoroku
%J Physics
%D 2000
%I arXiv
%R 10.1088/0264-9381/18/2/308
%X The renormalization group equations of the Yang-Mills theory are examined in the non-critical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions which are classified by the value of the tachyon potential at the vacuum. We show two typical, asymptotic-free solutions which are different in their infrared behaviors. For both types of solutions, we could obtain quark-confinement potential from the Wilson-loop. The stability of the tachyon and the ZigZag symmetry are also discussed for these solutions.
%U http://arxiv.org/abs/hep-ph/0008281v2