Gluon Condensation at Finite Temperature via AdS/CFT

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, 2 figures, added references and comments

Scientific paper

10.1088/1126-6708/2007/09/105

We consider gluon condensation (GC) at finite temperature using AdS/CFT. We first show that in the presence of regular horizon, the GC is forbidden in high temperature. Then we consider gravity back-reaction to dilaton coupling and show that the back-reaction develops an singularity, and non-vanishing value of gluon condensation is allowed. We also study thermodynamic quantities and the trace anomaly in the presence of the GC. We discuss how to define a temperature in the presence of the singularity which forbids Hawking temperature. Finally we describe the thermodynamics of the gluon condensation including the effect of the Hawking-Page transition.

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