A High Temperature Phase Transition in Weakly Coupled Large N Gauge Theories on a Three-sphere

Aharony, Ofer ; Hartnoll, Sean A.

Stanford Linear Accelerator Center

关键词: Theory-Hep,Hepth;    Yang-Mills Theory;    Stanford Linear Accelerator Center Theory-Hep,Hepth;    72 Physics Of Elementary Particles And Fields;    Eigenvalues;   

DOI  :  10.2172/908992
RP-ID  :  SLAC-PUB-12570
RP-ID  :  AC02-76SF00515
RP-ID  :  908992

美国|英语

来源: UNT Digital Library

【 摘 要 】

We argue that weakly coupled 3+1 dimensional large N SU(N) gauge theories, with 't Hooft coupling {gamma}, compactified on a three-sphere of radius R, exhibit a novel second order phase transition at a temperature T{sub c} = C{radical}{gamma} R. The known constant C depends on the details of the gauge theory. The phase transition is characterized by a change in the eigenvalue distributions of the fields. Above the transition, the only eigenvalues which condense are those of the lowest Kaluza-Klein mode of the spatial gauge field Ai on the three-sphere. Below the transition the eigenvalues of the lowest Kaluza-Klein mode of an additional field condense. We discuss in particular the examples of pure Yang-Mills theory and of the N = 4 supersymmetric Yang-Mills theory.