2008/10/31 by Arkady L. Kholodenko · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1016/j.geomphys.2009.01.006
published as J.Geom.Phys.59:600-619,2009 · 37 pages, 1 figure
arxiv created 2009/01/12 · openalex publication_date 2009/02/01 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Although QCD can be treated perturbatively in the high energy limit, lower energies requre uses of nonperturbative methods such as ADS/CFT and/or Abelian reduction.These methods are not equivalent. In this paper we provide arguments in favor of the Abelian reduction methods. This is achieved by further developing results of our recent works reanalyzing Veneziano and Veneziano-like amplitudes and the models associated with these amplitudes. It is shown, that the obtained new partition function for these amplitudes can be mapped exactly into that for the Polychronakos-Frahm spin chain model recoverable from the Richardson-Gaudin XXX spin chain model used originally for treatments of the BCS-type superconductivity. Because of this, it is demonstrated that the obtained mapping is compatible with the method of Abelian reduction.