# The Equation of state for two flavor QCD at nonzero chemical potential

Allton CR, Ejiri S, Hands SJ, Kaczmarek O, Karsch F, Laermann E, Schmidt C (2003) *Phys.Rev. D* 68(1): 014507.

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

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

We present results of a simulation of QCD on a 4x16^3 lattice with 2 continuum flavors of p4-improved staggered fermion with mass m/T=0.4. Derivatives of the thermodynamic grand potential 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 Taylor series expansion. Discretisation effects associated with various staggered fermion formulations are discussed in some detail. In addition it is possible to estimate the radius of convergence of the expansion as a function of temperature. We also discuss the calculation of energy and entropy densities which are defined via mixed derivatives of the thermodynamic grand potential with respect to the bare couplings and quark masses.

Keywords

pressure
;
11.15.Ha
;
05.70.Ce
;
potential: chemical
;
numerical calculations: Monte Carlo
;
lattice field theory: action
;
Lattice
;
gauge field theory: SU(3)
;
flavor: 2
;
fermion number: density
;
thermodynamics
;
susceptibility
;
fermion: lattice field theory
;
entropy: density
;
energy: density
;
12.38.Gc
;
12.38.Mh

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### Cite this

Allton CR, Ejiri S, Hands SJ, et al. The Equation of state for two flavor QCD at nonzero chemical potential.

*Phys.Rev. D*. 2003;68(1):014507.Allton, C. R., Ejiri, S., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., & Schmidt, C. (2003). The Equation of state for two flavor QCD at nonzero chemical potential.

*Phys.Rev. D*,*68*(1), 014507. doi:10.1103/PhysRevD.68.014507Allton, C. R., Ejiri, S., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., and Schmidt, C. (2003). The Equation of state for two flavor QCD at nonzero chemical potential.

*Phys.Rev. D*68, 014507.Allton, C.R., et al., 2003. The Equation of state for two flavor QCD at nonzero chemical potential.

*Phys.Rev. D*, 68(1), p 014507. C.R. Allton, et al., “The Equation of state for two flavor QCD at nonzero chemical potential”,

*Phys.Rev. D*, vol. 68, 2003, pp. 014507. Allton, C.R., Ejiri, S., Hands, S.J., Kaczmarek, O., Karsch, F., Laermann, E., Schmidt, C.: The Equation of state for two flavor QCD at nonzero chemical potential. Phys.Rev. D. 68, 014507 (2003).

Allton, C. R, Ejiri, S., Hands, S. J, Kaczmarek, Olaf, Karsch, Frithjof, Laermann, Edwin, and Schmidt, Christian. “The Equation of state for two flavor QCD at nonzero chemical potential”.

*Phys.Rev. D*68.1 (2003): 014507.
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