The Equation of State for Two Flavor QCD at Non-zero Chemical Potential

Details The Equation of State for Two Flavor QCD at Non-zero Chemical Potential The Equation of State for Two Flavor QCD at Non-zero Chemical Potential

2003-05-07

arxiv.org/abs/hep-lat/0305007v1

Phys.Rev.D68:014507,2003

Physics

High Energy Physics

High Energy Physics - Lattice

30 pages, LaTeX2e File, 17 Postscript figures

Scientific paper

10.1103/PhysRevD.68.014507

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.

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