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

Andrey Yu. Dubin
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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 λ>λ_{cr} 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(\infty)=SU(\infty) 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 YM_{4} theory in the λ=>\infty limit, is also discussed.

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Andrey Yu. Dubin. 2001-02-09. The Stringy Representation of the D>=3 Yang-Mills Theory. https://doi.org/10.1016/s0370-2693(01)00505-6

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