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arXiv · hep-lat/0204010

The QCD thermal phase transition in the presence of a small chemical potential

C. R. Allton·S. Ejiri·S. J. Hands·O. Kaczmarek·F. Karsch·E. Laermann·Ch. Schmidt·L. Scorzato
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Abstract

We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential $μ$. Derivatives of the phase transition point with respect to $μ$ are computed at $μ=0$ for 2 flavors of p-4 improved staggered fermions with $ma=0.1,0.2$ on a $16^3\times4$ lattice. The resulting Taylor expansion is well behaved for the small values of $μ_{\rm q}/T_c\sim0.1$ relevant for RHIC phenomenology, and predicts a critical curve $T_c(μ)$ in reasonable agreement with estimates obtained using exact reweighting. In addition, we contrast the case of isoscalar and isovector chemical potentials, quantify the effect of $μ\not=0$ on the equation of state, and comment on the complex phase of the fermion determinant in QCD with $μ\not=0$.

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C. R. Allton, S. Ejiri, S. J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, Ch. Schmidt, L. Scorzato. 2002-09-02. The QCD thermal phase transition in the presence of a small chemical potential. https://doi.org/10.1103/physrevd.66.074507

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