Lattice-based equation of state with 3D ising critical point

¹ Department of Physics, University of Houston, Houston, TX 77204, USA
² Department of Physics, Duke University, Durham, NC 27708, USA
³ Pennsylvania State University, Department of Physics, State College, PA 16801, USA
⁴ Dipartimento di Fisica, Università di Torino and INFN Torino, Via P. Giuria 1, I-10125 Torino, Italy
⁵ Helmholtz Research Academy Hesse for FAIR (HFHF), GSI Helmholtz Center for Heavy Ion Physics, Campus Frankfurt, 60438 Frankfurt, Germany
⁶ Institut für Theoretische Physik, JohannWolfgang Goethe-Universität, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany
⁷ Kadanoff Center for Theoretical Physics, University of Chicago, Chicago, Illinois 60637, USA
⁸ Physics Department, University of Illinois at Chicago, Chicago, IL 60607, USA
⁹ Laboratory for Quantum Theory at the Extremes, University of Illinois, Chicago, Illinois 60607, USA
¹⁰ GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany

^* e-mail: mkahangi@central.uh.edu

Published online: 26 June 2024

Abstract

The BEST Collaboration equation of state combining lattice data with the 3D Ising critical point encounters limitations due to the truncated Taylor expansion up to μ_B/T ~ 2.5. This truncation consequently restricts its applicability at high densities. Through a resummation scheme, the lattice results have been extended to μ_B/T = 3.5. In this article, we amalgamate these ideas with the 3D-Ising model, yielding a family of equations of state valid up to μ_B = 700MeV with the correct critical behavior. Our equations of state feature tunable parameters, providing a stable and causal framework-a crucial tool for hydrodynamics simulations.