The QCD equation of state for two flavours at non-zero chemical potential

Abstract

We present results of a simulation of 2 flavour QCD on a $16^3\times 4$ lattice using p4-improved staggered fermions with bare quark mass $m/T=0.4$. Derivatives of the thermodynamic grand canonical partition function $Z(V,T,{\mu }_u,{\mu }_d)$ with respect to chemical potentials ${\mu }_{u,d}$ for different quark flavours are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of ${\mu }_{u,d}$ via Taylor series expansion. Results are compared to high temperature perturbation theory as well as a hadron resonance gas model. We also analyze baryon as well as isospin fluctuations and discuss the relation to the chiral critical point in the QCD phase diagram. We moreover discuss the dependence of the heavy quark free energy on the chemical potential.

arXiv comment4 pages, 7 figures, talk presented at Quark Matter 2005, Budapest

References in corpus (3)

• The QCD thermal phase transition in the presence of a small chemical potential
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential

Cited by in corpus (16)

• Vacuum fluctuations and the thermodynamics of chiral models
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Kurtosis and compressibility near the chiral phase transition
• A Model for QCD at High Density and Large Quark Mass
• Matching the Hagedorn mass spectrum with Lattice QCD results
• The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres
• Fluctuations and correlations of hot QCD matter in an external magnetic field
• Exploring Dense and Cold QCD in Magnetic Fields
• Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD
• The QCD phase diagram at zero and small baryon density
• Thermodynamics of the low density excluded volume hadron gas
• Quark Number Susceptibility with Finite Quark Mass in Holographic QCD
• QCD equation of state in a virial expansion
• Relativistic Nucleus-Nucleus Collisions and the QCD Matter Phase Diagram