Holography and thermodynamics of 5D dilaton-gravity

By U. Gürsoy, E. Kiritsis, L. Mazzanti, Francesco Nitti. 2008

320 citations recorded by the source corpus.

The asymptotically-logarithmically-AdS black-hole solutions of 5D dilaton gravity with a monotonic dilaton potential are analyzed in detail. Such theories are holographically very close to pure Yang-Mills theory in four dimensions. The existence and uniqueness of black-hole solutions is shown. It is also shown that a Hawking-Page transition exists at finite temperature if and only if the potential corresponds to a confining theory. The physics of the transition matches in detail with that of deconfinement of the Yang-Mills theory. The high-temperature phase asymptotes to a free gluon gas at high temperature matching the expected behavior from asymptotic freedom. The thermal gluon condensate is calculated and shown to be crucial for the existence of a non-trivial deconfining transition. The condensate of the topological charge is shown to vanish in the deconfined phase.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/12fd60f86f1c4bd26aea0395e6e99febeedda29a

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Citations in the corpus

Holographic gravitational anomaly and chiral vortical effect (2011, unknown): “[55,56], or the strongly coupled plasma [57–59].”
Effective holographic theories for low-temperature condensed matter systems (2010, methodology): “On the other hand, it is not obvious if concrete EHTs can be embedded in well-defined string theories, or if concrete classical solutions that are (mildly) singular are acceptable as saddle points of the dual CFTs, [34, 16, 17, 20, 35].”
Improved Holographic QCD (2010, methodology): “However, as discussed in [ 29 ], for each temperature there exist only specific values of G (each corresponding to a different black hole) such that the horizon is regular.”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “12) Moreover, if V ∼ e−δφφ2a as φ → ∞ then the leading behavior of the solution is determined by δ whereas a determines subleading corrections, [21, 22, 1].”
Improved holographic Yang–Mills at finite temperature: Comparison with data (2009, methodology): “The free energy difference between the black hole and thermal gas was calculated in [ 18 ] to be:”
Generalized holographic quantum criticality at finite density (2011, background): “The case n = 1/2 was argued in [12, 13] to describe the IR physics of large-Nc YM.”
Thermal transport and drag force in improved holographic QCD (2009, methodology): “In [45] it was proved that existence of this second type of black-hole solution (the small BH) is necessary and sufficient for a first order confinement-deconfinement phase transition.”
A holographic critical point (2010, background): “It was shown in [7, 8] that simple gravitational theories in five dimensions are capable of producing black holes which approximately reproduce the equation of state of QCD, including the crossover, at vanishing chemical potential; see also [9, 10, 11, 12, 13] and the review [14].”