Pressure and non-linear susceptibilities in QCD at finite chemical potentials

Details Pressure and non-linear susceptibilities in QCD at finite chemical potentials Pressure and non-linear susceptibilities in QCD at finite chemical potentials

2003-03-19

arxiv.org/abs/hep-lat/0303013v3

Phys.Rev. D68 (2003) 034506

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 2 figures. Data on chi_uuuu added, discussion enhanced

Scientific paper

10.1103/PhysRevD.68.034506

When the free energy density of QCD is expanded in a series in the chemical potential, mu, the Taylor coefficients are the non-linear quark number susceptibilities. We show that these depend on the prescription for putting chemical potential on the lattice, making all extrapolations in chemical potential prescription dependent at finite lattice spacing. To put bounds on the prescription dependence, we investigate the magnitude of the non-linear susceptibilities over a range of temperature, T, in QCD with two degenerate flavours of light dynamical quarks at lattice spacing 1/4T. The prescription dependence is removed in quenched QCD through a continuum extrapolation, and the dependence of the pressure, P, on mu is obtained.

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