2001/02/09 by Andrey Yu. Dubin
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(01)00505-6
published as Phys.Lett. B508 (2001) 137-145 · 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
arxiv created 2001/02/09 · openalex publication_date 2001/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.