paper

A holographic model for QCD in the Veneziano limit at finite temperature and density

arXiv:1312.5199 · doi:10.1007/JHEP04(2014)124

Abstract

A holographic model of QCD in the limit of large number of colors, , and massless fermion flavors, , but constant ratio is analyzed at finite temperature and chemical potential. The five dimensional gravity model contains three bulk fields: a scalar dilaton sourcing , a scalar tachyon dual to and a 4-vector dual to the baryon current . The main result is the phase diagram of the holographic theory. A first order deconfining transition along and a chiral transition at are found. The chiral transition is of second order for all . The dependence of thermodynamical quantities including the speed of sound and susceptibilities on the chemical potential and temperature is computed. A new quantum critical regime is found at zero temperature and finite chemical potential. It is controlled by an AdS geometry and displays semi-local criticality.

72 pages, 25 figures. In V2 a numerical error affecting a subset of numerical examples of v1 corrected, figures and text revised accordingly. In V3 the metadata abstract corrected to match the one in V2 manuscript

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