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Report number	hep-ph/0509361 ; TKYNT-05-25 ; SWAT-05-443 ; BI-TP-2005-40 ; BNL-NT-05-31 ; CERN-PH-TH-2005-181 ; BI-TP-2005-40 ; BNL-NT-2005-31 ; CERN-PH-TH-2005-181 ; SWAT-2005-443 ; TKYNT-2005-25
Title	The QCD equation of state for two flavours at non-zero chemical potential
Related title	QUANTUM CHROMODYNAMICS NONZERO
Author(s)	Ejiri, S. (Tokyo U.) ; Allton, C.R. (Swansea U.) ; Doring, M. (Bielefeld U. ; Brookhaven) ; Hands, S.J. (Swansea U.) ; Kaczmarek, O. (Bielefeld U.) ; Karsch, F. (Bielefeld U. ; Brookhaven) ; Laermann, E. (Bielefeld U.) ; Redlich, K. (Wroclaw U. ; CERN)
Affiliation	(CERN)
Publication	2006
Imprint	30 Sep 2005
Number of pages	4
Note	4 pages, 7 figures, talk presented at Quark Matter 2005, Budapest
In:	Nucl. Phys. A 774 (2006) 837-840
In:	18th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions, Budapest, Hungary, 4 - 9 Aug 2005, pp.837-840
DOI	10.1016/j.nuclphysa.2006.06.023
Subject category	Particle Physics - Phenomenology
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.
Copyright/License	Elsevier B.V.

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