Refining holographic models of the quark-gluon plasma

Abstract

We investigate quark-gluon plasma at nonzero density by using two holographic models for QCD based on either brane or Einstein-Maxwell-dilaton actions. We determine the parameters of these models through a systematic statistical fitting procedure to lattice QCD data, which encompasses the equation of state (through the entropy density) and the two lowest baryon number susceptibilities. The predictions from the two models for the higher-order susceptibilities and the equation of state at nonzero density are strikingly similar. In particular, both models suggest the presence of a critical point on the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mo stretchy="false">(</a:mo> <a:msub> <a:mrow> <a:mi>μ</a:mi> </a:mrow> <a:mrow> <a:mi mathsize="small" mathvariant="normal">B</a:mi> </a:mrow> </a:msub> <a:mo>,</a:mo> <a:mi>T</a:mi> <a:mo stretchy="false">)</a:mo> </a:mrow> </a:math> -phase diagram near <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi>μ</g:mi> <g:mi mathsize="small" mathvariant="normal">B</g:mi> </g:msub> <g:mo>/</g:mo> <g:mi>T</g:mi> <g:mo>≈</g:mo> <g:mn>6</g:mn> </g:math> . The results for the equation of state are in agreement with lattice data for higher-order susceptibilities and experimental data for the cumulants of the net-proton number from the beam energy scan program at the Relativistic Heavy-Ion Collider. Published by the American Physical Society 2024

Topics & Concepts