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arxiv: hep-lat/0204010 · v3 · submitted 2002-04-09 · ✦ hep-lat · hep-ph· nucl-th

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 This is my paper
classification ✦ hep-lat hep-phnucl-th
keywords chemicalphasesmallpotentialthermaltransitionadditionagreement
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We propose a new method to investigate the thermal properties of QCD with a small quark chemical potential $\mu$. Derivatives of the phase transition point with respect to $\mu$ are computed at $\mu=0$ 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 $\mu_{\rm q}/T_c\sim0.1$ relevant for RHIC phenomenology, and predicts a critical curve $T_c(\mu)$ 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 $\mu\not=0$ on the equation of state, and comment on the complex phase of the fermion determinant in QCD with $\mu\not=0$.

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