arXiv · 1312.5199
A holographic model for QCD in the Veneziano limit at finite temperature and density
Abstract
A holographic model of QCD in the limit of large number of colors, $N_c$, and massless fermion flavors, $N_f$, but constant ratio $x_f=N_f/N_c$ is analyzed at finite temperature and chemical potential. The five dimensional gravity model contains three bulk fields: a scalar dilaton sourcing ${\rm Tr}F^2$, a scalar tachyon dual to $\bar qq$ and a 4-vector dual to the baryon current $\bar q γ^μ q$. The main result is the $μ,T$ phase diagram of the holographic theory. A first order deconfining transition along $T_h(μ)$ and a chiral transition at $T_χ(μ)>T_h(μ)$ are found. The chiral transition is of second order for all $μ$. 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$_2\times R^3$ geometry and displays semi-local criticality.
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T. Alho, M. Jarvinen, K. Kajantie, E. Kiritsis, C. Rosen, K. Tuominen. 2018-10-03. A holographic model for QCD in the Veneziano limit at finite temperature and density. https://doi.org/10.1007/jhep04(2014)124
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