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### The QCD equation of state for two flavours at non-zero chemical potential / S. Ejiri, E. Laermann, F. Karsch, K. Redlich, S.J. Hands, O. Kaczmarek, M. Doring, Chris Allton

Nuclear Physics A, Volume: 774, Pages: 837 - 840

Swansea University Author:

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DOI (Published version): 10.1016/j.nuclphysa.2006.06.023

Abstract

We present results of a simulation of 2 flavour QCD on a $16^3\times4$ 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 q...

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Published in: Nuclear Physics A 03759474 2006 https://cronfa.swan.ac.uk/Record/cronfa28428 No Tags, Be the first to tag this record!
Abstract: We present results of a simulation of 2 flavour QCD on a $16^3\times4$ 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. College of Science 837 840