# QM 2011 - XXII International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

May 22 – 28, 2011
Centre Bonlieu
Europe/Zurich timezone

## Lattice QCD based equation of state at finite baryon density

May 24, 2011, 4:20 PM
20m
Salon Haendel AB (Imperial Palace)

### Salon Haendel AB

#### Imperial Palace

Allée Impérial 74000 Annecy, France Tél. : +33 4 50 09 30 00
Parallel QCD phase diagram

### Speaker

Dr Pasi Huovinen (Johann Wolfgang Goethe-Universität)

### Description

The effects of non-zero baryon density are expected to become important in hydrodynamic modeling of heavy 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 [1]. If so, the equation of state relevant for hydrodynamic models can be calculated on the lattice using Taylor expansion. However, there are large cutoff effects in present lattice calculations for non-zero chemical potentials. We employ the lattice QCD data on Taylor expansion coefficients [2] to extend our previous parametrization of the equation of state [3] to finite baryon density. When we take into account lattice spacing and quark mass dependence of the hadron masses [3], the Taylor coefficients at low temperature are equal to those of hadron resonance gas. Therefore we require require that the equation of state is smoothly connected to the hadron resonance gas equation of state at low temperatures. Some preliminary results were reported in [4]. 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. [1] T.K. Herbst et al, Phys. Lett. B696 (2011); C.S. Fischer et al, arXiv:1104.1564 [2] M. Cheng et al, Phys. Rev. D79 (2009) 074505; C Miao and C. Schmidt,PoS LATTICE2008 (2008) 172 [3] P.Huovinen and P.Petreczky, Nucl.Phys. A837 (2010) 26 [4] P.Huovinen and P.Petreczky, J. Phys. Conf. Ser. 230 (2010) 012012

### Primary author

Dr Pasi Huovinen (Johann Wolfgang Goethe-Universität)

 Slides