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

Allton CR, Ejiri S, Hands SJ, Kaczmarek O, Karsch F, Laermann E, Schmidt C, Scorzato L (2002)
Phys.Rev. D 66(7): 074507.

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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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Allton CR, Ejiri S, Hands SJ, et al. The QCD thermal phase transition in the presence of a small chemical potential. Phys.Rev. D. 2002;66(7):074507.
Allton, C. R., Ejiri, S., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., Schmidt, C., et al. (2002). The QCD thermal phase transition in the presence of a small chemical potential. Phys.Rev. D, 66(7), 074507. doi:10.1103/PhysRevD.66.074507
Allton, C. R., Ejiri, S., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., Schmidt, C., and Scorzato, L. (2002). The QCD thermal phase transition in the presence of a small chemical potential. Phys.Rev. D 66, 074507.
Allton, C.R., et al., 2002. The QCD thermal phase transition in the presence of a small chemical potential. Phys.Rev. D, 66(7), p 074507.
C.R. Allton, et al., “The QCD thermal phase transition in the presence of a small chemical potential”, Phys.Rev. D, vol. 66, 2002, pp. 074507.
Allton, C.R., Ejiri, S., Hands, S.J., Kaczmarek, O., Karsch, F., Laermann, E., Schmidt, C., Scorzato, L.: The QCD thermal phase transition in the presence of a small chemical potential. Phys.Rev. D. 66, 074507 (2002).
Allton, C. R, Ejiri, S., Hands, S. J, Kaczmarek, Olaf, Karsch, Frithjof, Laermann, Edwin, Schmidt, Christian, and Scorzato, L. “The QCD thermal phase transition in the presence of a small chemical potential”. Phys.Rev. D 66.7 (2002): 074507.
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