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

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

2000-08-28

arxiv.org/abs/hep-ph/0008281v2

Class.Quant.Grav. 18 (2001) 289-302

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 5 figures

Scientific paper

10.1088/0264-9381/18/2/308

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.

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