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arxiv: hep-lat/0501030 · v2 · submitted 2005-01-30 · ✦ hep-lat

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Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential

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classification ✦ hep-lat
keywords quarkchiralwellchemicalcriticaldiagramflavororder
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We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to chemical potentials mu_(u,d) for different quark flavors are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of mu_q = (mu_u + mu_d)/2 via Taylor series expansion. Furthermore, we analyze baryon as well as isospin fluctuations and discuss the relation between the radius of convergence of the Taylor series and the chiral critical point in the QCD phase diagram. We argue that bulk thermodynamic observables do not, at present, provide direct evidence for the existence of a chiral critical point in the QCD phase diagram. Results are compared to high temperature perturbation theory as well as a hadron resonance gas model.

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  1. Finite-density equation of state of hot QCD using the complex Langevin equation

    hep-lat 2026-04 unverdicted novelty 6.0

    Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.