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

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arxiv hep-lat/0305007 v1 pith:EFVZO7MJ submitted 2003-05-07 hep-lat hep-phnucl-th

C.R. Allton , S. Ejiri , S.J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , C. Schmidt This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords potentialquarkassociatedchemicalderivativesexpansionfermiongrand
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Lattice QCD constraints on the critical point from an improved precision equation of state

    hep-lat 2025-02 conditional novelty 6.0 of 10

    An improved lattice QCD equation of state, combined with entropy contours continued from imaginary chemical potential, excludes a QCD critical point below μB = 450 MeV at 2σ confidence.

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