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

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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 (YMD) with a sufficiently large bare coupling constant λ>λcr and a fixed ultraviolet cut off Λ. 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(∞)=SU(∞) gauge theory in the standard λ=>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 YM₄ theory in the λ=>∞ limit, is also discussed.