2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188521We 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.15 pages, 2 figures, added references and commentsHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyNuclear Theorytext