# 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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Ejiri, S.
;
Allton, C. R
;
Hands, S. J
;
Kaczmarek, Olaf

^{UniBi}; Karsch, Frithjof^{UniBi}; Laermann, Edwin^{UniBi}; Schmidt, Christian^{UniBi}Abstract

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)02636-7Ejiri, 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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