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Pressure and non-linear susceptibilities in QCD at finite chemical potentials
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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.
Forward citations
Cited by 4 Pith papers
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Continuum-estimated leading-order EoS coefficients in magnetized strangeness-neutral QCD at nonzero baryon chemical potential show temperature-band crossings in q1 and P2 and a possible sign change of the trace anomal...
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The canonical approach at high temperature revisited
The paradox in the canonical approach at high temperature with the Roberge-Weiss transition originates from infinite-size effects and vanishes in finite-size systems due to smearing, validating the approach for lattice QCD.
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On analytic continuation from imaginary to real chemical potential in Lattice QCD
The paper proposes and tests an inverse Cauchy integral method for analytically continuing lattice QCD number density from imaginary to real chemical potential, with preliminary results matching Padé and Taylor expans...
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QCD Equation of State with Strong Magnetic Fields and Nonzero Baryon Density
Lattice QCD continuum estimates of leading-order baryon-density Taylor coefficients of the magnetized QCD equation of state show deviations from hadron gas and approach to a free gas at strong fields.
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