2008/11/30 by Yoshihisa Kitazawa, Koichiro Matsumoto · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Chemistry #Complex plane #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Particle physics theoretical and experimental studies #Physics #Plane (geometry) #Plane wave #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.79.065003
published as Phys.Rev.D79:065003,2009 · 31pages: added comments and references
arxiv created 2008/12/02 · openalex publication_date 2009/03/04 · arxiv updated 2011/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the large N reduced model of gauge theory on a curved spacetime through the plane wave matrix model. We formally derive the action of the N=4 supersymmetric Yang-Mills theory on ℝ\ifmmode×\else\texttimes\fiS3 from the plane wave matrix model in the large N limit. Furthermore, we evaluate the effective action of the plane wave matrix model up to the two-loop level at finite temperature. We find that the effective action is consistent with the free energy of the N=4 supersymmetric Yang-Mills theory on S3 at the high temperature limit where the planar contributions dominate. We conclude that the plane wave matrix model can be used as a large N reduced model to investigate nonperturbative aspects of the N=4 supersymmetric Yang-Mills theory on ℝ\ifmmode×\else\texttimes\fiS3.