Yang-Mills theory from non-critical string

Abstract

The correspondence of the non-critical string theory and the Yang-Mills theory is examined according to the recent Polyakov's proposal, and two possible solutions of the bulk equations are addressed near the fixed points of the pure Yang-Mills theory: (i) One solution asymptotically approaches to the AdS space at the ultraviolet limit where the conformally invariant field theory is realized. (ii) The second one approaches to the flat space in both the infrared and the ultraviolet limits. The area law of the Wilson-loop and the asymptotic freedom with logarithmic behaviour are seen in the respective limit.

17 pages, no figure, Latex

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Cited by in corpus (8)

• Non-critical, near extremal AdS_6 background as a holographic laboratory of four dimensional YM theory
• Non-critical supergravity (d>1) and holography
• Fundamental matter, meson spectroscopy and non-critical string/gauge duality
• On Isolated Conformal Fixed Points and Noncritical String Theory
• Spectral function and quark diffusion constant in non-critical holographic QCD
• Decay widths of large-spin mesons from the non-critical string/gauge duality
• On the YM and QCD spectra from five dimensional strings
• Beta-functions in Yang-Mills Theory from Non-critical String