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The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of improved holographic QCD of U. Gursoy and E. Kiritsis, J. High Energy Phys. 02 (2008) 03210. 1088/1126-6708/2008/02/032 U. Gursoy, E. Kiritsis, and F. Nitti, J. High Energy Phys. 02 (2008) 01910. 1088/1126-6708/2008/02/019, we find T₂=235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy, and speed of sound is calculated. The results are in agreement with the corresponding lattice data.
Gürsoy et al. (Thu,) studied this question.
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