### 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)
In: Nuclear Physics B - Proceedings Supplements. Nucl.Phys.Proc.Suppl., 129/130. Elsevier BV: 545-547.

Konferenzbeitrag | Veröffentlicht | Englisch

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Abstract / Bemerkung
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.
Stichworte
fermion number: density; fermion: lattice field theory; flavor: 2; finite temperature; gauge field theory: SU(3); numerical calculations: Monte Carlo; pressure; susceptibility; talk: Tsukuba 2003/07/15; Taylor expansion; critical phenomena; density: finite
Erscheinungsjahr
2004
Titel des Konferenzbandes
Nuclear Physics B - Proceedings Supplements
Band
129/130
Seite(n)
545-547
ISSN
0920-5632
Page URI
https://pub.uni-bielefeld.de/record/1968871

### Zitieren

Ejiri S, Allton CR, Hands SJ, et al. The Equation of state for two flavor QCD at finite density. In: Nuclear Physics B - Proceedings Supplements. Nucl.Phys.Proc.Suppl. Vol 129/130. Elsevier BV; 2004: 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. Nuclear Physics B - Proceedings Supplements, Nucl.Phys.Proc.Suppl., 129/130, 545-547. Elsevier BV. https://doi.org/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” in Nuclear Physics B - Proceedings Supplements Nucl.Phys.Proc.Suppl., vol. 129/130, (Elsevier BV), 545-547.
Ejiri, S., et al., 2004. The Equation of state for two flavor QCD at finite density. In Nuclear Physics B - Proceedings Supplements. Nucl.Phys.Proc.Suppl. no.129/130 Elsevier BV, pp. 545-547.
S. Ejiri, et al., “The Equation of state for two flavor QCD at finite density”, Nuclear Physics B - Proceedings Supplements, Nucl.Phys.Proc.Suppl., vol. 129/130, Elsevier BV, 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. Nuclear Physics B - Proceedings Supplements. Nucl.Phys.Proc.Suppl. 129/130, p. 545-547. Elsevier BV (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”. Nuclear Physics B - Proceedings Supplements. Elsevier BV, 2004.Vol. 129/130. Nucl.Phys.Proc.Suppl. 545-547.

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arXiv: hep-lat/0309077

Inspire: 628167