Phase Transitions for Gauge Theories on Tori from the AdS/CFT Correspondence

Details Phase Transitions for Gauge Theories on Tori from the AdS/CFT Correspondence Phase Transitions for Gauge Theories on Tori from the AdS/CFT Correspondence

2002-04-30

arxiv.org/abs/hep-th/0205001v1

JHEP0809:037,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1088/1126-6708/2008/09/037

The vacuum of a large-N gauge field on a p-torus has a spatial stress tensor with tension along the direction of smallest periodicity and equal pressures (but p times smaller in magnitude) along the other directions, assuming an AdS/CFT correspondence and a refined form of the Horowitz-Myers positive-energy conjecture. For infinite N, the vacuum exhibits a phase transition when the lengths of the two shortest periodicities cross. A comparison is made with the Surya-Schleich-Witt phase transition at finite temperature. A zero-loop approximation is also given for large but finite N.

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