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Numerical study of the equation of state for two flavor QCD at non-zero baryon density / S. Ejiri, E. Laermann, F. Karsch, K. Redlich, S.J. Hands, O. Kaczmarek, M. Doring, Chris Allton

Swansea University Author: Chris Allton

Abstract

We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure, quark number density and associated susceptibilities are est...

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Published: 2004
Online Access: http://inspirehep.net/record/657928
URI: https://cronfa.swan.ac.uk/Record/cronfa28452
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Abstract: We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure, quark number density and associated susceptibilities are estimated as functions of temperature and $\mu_q$. It is found that the fluctuations in the quark number density increase in the vicinity of the phase transition temperature and the susceptibilities start to develop a pronounced peak as $\mu_q$ is increased. This suggests the presence of a critical endpoint in the $(\mu_q, T)$ plane. Moreover, we comment on the hadron resonance gas model, which explains well our simulation results below $T_c$.
College: College of Science