# The Equation of state for two flavor QCD at finite density

Ejiri S, Allton CR, Hands SJ, Kaczmarek O, Karsch F, Laermann E, Schmidt C (2004)
Nucl.Phys.Proc.Suppl. 129/130: 545-547.

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We discuss the equation of state for QCD at non-zero temperature and density. We present results of a simulation for QCD with 2 flavors of p4-improved staggered fermions. Derivatives of $\ln {\cal Z}$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated, enabling estimates of the pressure, quark number density and associated susceptibilities as functions of $\mu_q$ via a Taylor series expansion. We also discuss the radius of convergence of the expansion as a function of temperature. 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 $(T, \mu_q)$ plane.
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Ejiri S, Allton CR, Hands SJ, et al. The Equation of state for two flavor QCD at finite density. Nucl.Phys.Proc.Suppl. 2004;129/130:545-547.
Ejiri, S., Allton, C. R., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., & Schmidt, C. (2004). The Equation of state for two flavor QCD at finite density. Nucl.Phys.Proc.Suppl., 129/130, 545-547. doi:10.1016/S0920-5632(03)02636-7
Ejiri, S., Allton, C. R., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., and Schmidt, C. (2004). The Equation of state for two flavor QCD at finite density. Nucl.Phys.Proc.Suppl. 129/130, 545-547.
Ejiri, S., et al., 2004. The Equation of state for two flavor QCD at finite density. Nucl.Phys.Proc.Suppl., 129/130, p 545-547.
S. Ejiri, et al., “The Equation of state for two flavor QCD at finite density”, Nucl.Phys.Proc.Suppl., vol. 129/130, 2004, pp. 545-547.
Ejiri, S., Allton, C.R., Hands, S.J., Kaczmarek, O., Karsch, F., Laermann, E., Schmidt, C.: The Equation of state for two flavor QCD at finite density. Nucl.Phys.Proc.Suppl. 129/130, 545-547 (2004).
Ejiri, S., Allton, C. R, Hands, S. J, Kaczmarek, Olaf, Karsch, Frithjof, Laermann, Edwin, and Schmidt, Christian. “The Equation of state for two flavor QCD at finite density”. Nucl.Phys.Proc.Suppl. 129/130 (2004): 545-547.
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arXiv hep-lat/0309077

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