The QCD equation of state for two flavors at non-zero chemical potential

Ejiri, S.; Allton, C.R.; Doring, M.; Hands, S.J.; Kaczmarek, O.; Karsch, F.; Laermann, E.; Redlich, K.

doi:10.1016/j.nuclphysa.2006.06.023

The QCD equation of state for two flavors at non-zero chemical potential

S. Ejiri
(
- Tokyo U.
)
,
C.R. Allton
(
- Swansea U.
)
,
M. Doring
(
- Bielefeld U. and
- Brookhaven
)
,
S.J. Hands
(
- Swansea U.
)
,
O. Kaczmarek
(
- Bielefeld U.
)

Sep, 2005

4 pages

Part of Proceedings, 18th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions (Quark Matter 2005) : Budapest, Hungary, August 4-9, 2005, 837-840

Published in:

Nucl.Phys.A 774 (2006) 837-840

Contribution to:

- Quark Matter 2005
, 837-840

e-Print:

hep-ph/0509361 [hep-ph]

DOI:

10.1016/j.nuclphysa.2006.06.023

Report number:

TKYNT-05-25,
SWAT-05-443,
BI-TP-2005-40,
BNL-NT-05-31,
CERN-PH-TH-2005-181

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Abstract:

We present results of a simulation of 2 flavour QCD on a

16^3\times4

lattice using p4-improved staggered fermions with bare quark mass

m/T=0.4

. Derivatives of the thermodynamic grand canonical partition function

Z(V,T,\mu_u,\mu_d)

with respect to chemical potentials

\mu_{u,d}

for different quark flavours are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of

\mu_{u,d}

via Taylor series expansion. Results are compared to high temperature perturbation theory as well as a hadron resonance gas model. We also analyze baryon as well as isospin fluctuations and discuss the relation to the chiral critical point in the QCD phase diagram. We moreover discuss the dependence of the heavy quark free energy on the chemical potential.

Note:

4 pages, 7 figures, talk presented at Quark Matter 2005, Budapest

References(4)

Figures(7)

The Equation of state for two flavor QCD at nonzero chemical potential

C.R. Allton
(
- Swansea U.
)
,
S. Ejiri
(
- Swansea U. and
- Bielefeld U.
)
,
S.J. Hands
(
- Swansea U.
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U.
)

et al.

- Phys.Rev.D 68 (2003) 014507
•
e-Print:
- hep-lat/0305007
•
DOI:
- 10.1103/PhysRevD.68.014507

Thermodynamics of two flavor QCD to sixth order in quark chemical potential

et al.

- Phys.Rev.D 71 (2005) 054508
•
e-Print:
- hep-lat/0501030
•
DOI:
- 10.1103/PhysRevD.71.054508

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

C.R. Allton
(
- Swansea U. and
- Queensland U.
)
,
S. Ejiri
(
- Swansea U.
)
,
S.J. Hands
(
- Swansea U. and
- Santa Barbara, KITP
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Santa Barbara, KITP and
- Bielefeld U.
)

et al.

- Phys.Rev.D 66 (2002) 074507
•
e-Print:
- hep-lat/0204010
•
DOI:
- 10.1103/PhysRevD.66.074507

Screening of heavy quark free energies at finite temperature and non-zero baryon chemical potential

M. Doring
(
- Bielefeld U. and
- Brookhaven
)
,
S. Ejiri
(
- Tokyo U.
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
E. Laermann
(
- Bielefeld U.
)

- Eur.Phys.J.C 46 (2006) 179-189
•
e-Print:
- hep-lat/0509001
•
DOI:
- 10.1140/epjc/s2005-02462-y