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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 Orcid Logo, O. Kaczmarek, M. Doring, Chris Allton Orcid Logo

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

Swansea University Author: Chris Allton Orcid Logo

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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
ISSN: 03759474
Published: 2006
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28428
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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: Faculty of Science and Engineering
Start Page: 837
End Page: 840