Heidelberg 2015 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 44: Heavy Ion Collisions and QCD Phases 5
HK 44.7: Talk
Wednesday, March 25, 2015, 16:15–16:30, T/HS1
Lattice QCD based equation of state at finite baryon density — •Pasi Huovinen1,2, Peter Petreczky3, and Christian Schmidt4 — 1Institut für Theoretische Physik, Goethe-Universität, Frankfurt am Main, Germany — 2Frankfurt Institute for Advanced Studies, Frankfurt am Main, Germany — 3Brookhaven National Laboratory, USA — 4Fakultät für Physik, Universität Bielefeld, Bielefeld, Germany
The effects of non-zero baryon density are expected to become important in hydrodynamic modeling of heavy-ion collisions below the highest energy at RHIC. Recent calculations in effective models and in QCD using Dyson Schwinger equation suggest that the transition in QCD remains a crossover up to baryon chemical potentials of about 800MeV. If so, the equation of state relevant for hydrodynamic models can be calculated on the lattice using Taylor expansion. However, except for the coefficients of the lowest order, there are large cutoff effects in present lattice calculations for non-zero chemical potentials.
To extend our previous parametrization of the equation of state to finite baryon density, we employ the continuum extrapolated lattice QCD data on Taylor expansion coefficients in order two, and complement them with coefficients in order four and six evaluated using p4 action. To avoid large cutoff efects these coefficients are smoothly matched to those of hadron resonance gas at low temperature. We also show how the hydrodynamical evolution is affected by this equation of state in the energy range relevant for SPS and the RHIC energy scan.
This work is funded by BMBF under contract no. 06FY9092.