2018
DOI: 10.1002/prop.201800035
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Singular Perturbation Theory for the Thermodynamic Properties of Holographic QCD

Abstract: We explore the thermodynamics of a black‐hole solution in improved holographic QCD with a simple dilaton potential having two parameters. By applying techniques of singular perturbation theory, we get uniform approximations for the metric and the dilaton field in the two regimes of big and small black‐holes. These techniques lead to a resummation of the naive expansion at high temperatures, providing a good fit to lattice data for the trace anomaly at high temperature. It is provided as well an estimate of the… Show more

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Cited by 4 publications
(4 citation statements)
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“…The ansatz for the background metric and fields is chosen as follows in Fefferman-Graham coordinates [43,44],…”
Section: Background Solutionmentioning
confidence: 99%
“…The ansatz for the background metric and fields is chosen as follows in Fefferman-Graham coordinates [43,44],…”
Section: Background Solutionmentioning
confidence: 99%
“…In either case, we cannot exclude that power corrections could become relevant after considering the effects of RG flows connecting two fixed points, a study already outlined in Ref. [15], or in a sophisticated version of the model.…”
Section: Phenomenological Consequences For Qcdmentioning
confidence: 98%
“…This assumption requires the condition for integrability 2ρ 0 ∂s/∂ρ 0 = ∂ O /∂T , which has been checked in Ref. [15] by using holographic renormalization techniques. Since there is no conserved charge, the Euler identity adopts the form w = ε − T s. Then, it follows that the first law of thermodynamics is…”
Section: First Law Of Thermodynamicsmentioning
confidence: 99%
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