Understanding the strong coupling limit of the N=4 supersymmetric Yang-Mills at finite temperature
Aug, 2003Citations per year
Abstract:
Recently, a number of intriguing results have been obtained for strongly coupled Supersymmetric Yang-Mills theory in vacuum and matter, using the AdS/CFT correspondence. In this work, we provide a physical picture supporting and explaining most of these results within the gauge theory. The modified Coulomb's law at strong coupling forces static charges to communicate via the high frequency modes of the gauge/scalar fields. Therefore, the interaction between even relativistically moving charges can be approximated by a potential. At strong coupling, WKB arguments yield a series of deeply bound states, whereby the large Coulomb attraction is balanced by centrifugation. The result is a constant density of light bound states at {\bf any} value of the strong coupling, explaining why the thermodynamics and kinetics are coupling constant independent. In essence, at strong coupling the matter is not made of the original quasiparticles but of much lighter (binary) composites. A transition from weak to strong coupling is reminiscent to a transition from high to low in QCD. We establish novel results for screening in vacuum and matter through a dominant set of diagrams some of which are in qualitative agreement with known strong coupling results.- 11.25.Mj
- 11.10.Wx
- 12.38.Mh
- gauge field theory: Yang-Mills
- supersymmetry
- finite temperature
- approximation: strong coupling
- field theory: anti-de Sitter
- field theory: conformal
- bound state: density
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