Antide Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories
Abstract
The correspondence between supergravity (and string theory) on $AdS$ space and boundary conformal field theory relates the thermodynamics of ${\cal N}=4$ super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large $AdS$ Schwarzschild black hole must scale ``holographically'' with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large $N$ gauge theories in four dimensions without supersymmetry.
 Publication:

arXiv eprints
 Pub Date:
 March 1998
 arXiv:
 arXiv:hepth/9803131
 Bibcode:
 1998hep.th....3131W
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pp., added references and minor corrections