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

Ejiri S, Allton CR, Döring M, Hands SJ, Kaczmarek O, Karsch F, Laermann E, Redlich K (2004) .

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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 $T_c$.
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Ejiri S, Allton CR, Döring M, et al. Numerical study of the equation of state for two flavor QCD at non-zero baryon density. 2004.
Ejiri, S., Allton, C. R., Döring, M., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., et al. (2004). Numerical study of the equation of state for two flavor QCD at non-zero baryon density
Ejiri, S., Allton, C. R., Döring, M., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., and Redlich, K. (2004). Numerical study of the equation of state for two flavor QCD at non-zero baryon density.
Ejiri, S., et al., 2004. Numerical study of the equation of state for two flavor QCD at non-zero baryon density.
S. Ejiri, et al., “Numerical study of the equation of state for two flavor QCD at non-zero baryon density”, 2004.
Ejiri, S., Allton, C.R., Döring, M., Hands, S.J., Kaczmarek, O., Karsch, F., Laermann, E., Redlich, K.: Numerical study of the equation of state for two flavor QCD at non-zero baryon density. (2004).
Ejiri, S., Allton, C. R., Döring, M., Hands, S. J., Kaczmarek, Olaf, Karsch, Frithjof, Laermann, Edwin, and Redlich, K. “Numerical study of the equation of state for two flavor QCD at non-zero baryon density”. (2004).
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arXiv hep-lat/0408046