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Deconfinement Phase Transition inN=4Super Yang-Mills Theory onR×S3from Supersymmetric Matrix Quantum Mechanics

2008/10/31 by Goro Ishiki, Sang‐Woo Kim, Sang-Woo Kim +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.102.111601

published as Phys.Rev.Lett.102:111601,2009 · REVTeX4, 4 pages, 1 figure, typos corrected

arxiv created 2008/11/12 · openalex publication_date 2009/03/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on R x S3 in the planar limit. When the mass parameter is large, we can integrate out all of the massive fluctuations around a particular classical solution, which corresponds to R x S3. The resulting effective theory for the gauge field moduli at finite temperature reproduces the deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 at weak coupling. This transition was speculated to be a continuation of the conjectured phase transition at strong coupling, which corresponds to the Hawking-Page transition based on the gauge-gravity duality. At strong coupling, one can study the target theory by the new simulation method for supersymmetric matrix quantum mechanics.

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