The Stringy Representation of the D>=3 Yang-Mills Theory

Abstract

I put forward the stringy representation of the 1/N strong coupling (SC) expansion for the regularized Wilson's loop-averages in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda. The proposed representation is proved to provide with the confining solution of the Dyson-Schwinger chain of the judiciously regularized U(N) Loop equations. Building on the results obtained, we suggest the stringy pattern of the low-energy theory associated to the D=4 U(\infty)=SU(\infty) gauge theory in the standard \lambda=>0 phase with the asymptotic freedom in the UV domain. A nontrivial test, to clarify whether the AdS/CFT correspondence conjecture may be indeed applicable to the large N pure YM_{4} theory in the \lambda=>\infty limit, is also discussed.

Comments: 11 pages, the short version of hep-th/0101182, the proof (directly from the Loop equation) of the dimensional reduction in the extreme strong-coupling limit is additionally included