Lattice-based QCD equation of state at finite baryon density: Cluster Expansion Model

Abstract

The QCD equation of state at finite baryon density is studied in the framework of a Cluster Expansion Model (CEM), which is based on the fugacity expansion of the net baryon density. The CEM uses the two leading Fourier coefficients, obtained from lattice simulations at imaginary ${\mu }_B$, as the only model input and permits a closed analytic form. Excellent description of the available lattice data at both ${\mu }_B=0$ and at imaginary ${\mu }_B$ is obtained. We also demonstrate how the Fourier coefficients can be reconstructed from baryon number susceptibilities.

4 pages, 3 figures. Contribution to the Quark Matter 2018 conference proceedings

References in corpus (9)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• The QCD Equation of State to $\mathcal{O}({\mu }_B^4)$ from Lattice QCD
• Wilson Fermion Determinant in Lattice QCD
• Beth-Uhlenbeck approach for repulsive interactions between baryons in a hadron gas

Cited by in corpus (12)

• Equation of state at finite densities for QCD matter in nuclear collisions
• Lattice-based equation of state at finite baryon number, electric charge and strangeness chemical potentials
• QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions
• High-Temperature QCD: theory overview
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• The fate of the critical endpoint at large $N_c$
• The analytic structure of thermodynamic systems with repulsive interactions
• Critical point signatures in the cluster expansion in fugacities
• Net-baryon multiplicity distribution consistent with lattice QCD
• Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations
• Net-Baryon Number Probability Distribution As an Indicator of Phase Transition