Numerical study of the equation of state for two flavor QCD at non-zero baryon density

Details Numerical study of the equation of state for two flavor QCD at non-zero baryon density Numerical study of the equation of state for two flavor QCD at non-zero baryon density

2004-08-31

arxiv.org/abs/hep-lat/0408046v1

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 6 figures, Poster presented at SEWM 2004

Scientific paper

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 $T_c$.

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