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

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arxiv hep-lat/0303013 v3 pith:GDETRBDR submitted 2003-03-19 hep-lat hep-phnucl-exnucl-th

classification hep-lathep-phnucl-exnucl-th
keywords chemicalprescriptiondependencelatticenon-linearpotentialsusceptibilitiesfinite
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Leading-Order QCD Equation of State in Strong Magnetic Fields at Nonzero Baryon Chemical Potential

    hep-lat 2025-08 conditional novelty 6.0 of 10

    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...

  2. The canonical approach at high temperature revisited

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    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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