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

Don N. Page
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Abstract

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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Don N. Page. 2002-04-30. Phase Transitions for Gauge Theories on Tori from the AdS/CFT Correspondence. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F037

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