English

Beta-functions in Yang-Mills Theory from Non-critical String

High Energy Physics - Phenomenology 2009-10-31 v2 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0008281,
  title  = {Beta-functions in Yang-Mills Theory from Non-critical String},
  author = {Kazuo Ghoroku},
  journal= {arXiv preprint arXiv:hep-ph/0008281},
  year   = {2009}
}

Comments

16 pages, 5 figures

R2 v1 2026-07-22T13:28:45.935Z