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

S. Ejiri, E. Laermann, F. Karsch, K. Redlich, S.J. Hands Orcid Logo, O. Kaczmarek, M. Doring, Chris Allton Orcid Logo

Nuclear Physics A, Volume: 774, Pages: 837 - 840

Swansea University Author: Chris Allton Orcid Logo

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DOI (Published version): 10.1016/j.nuclphysa.2006.06.023

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 q...

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Published in: Nuclear Physics A
ISSN: 03759474
Published: 2006
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URI: https://cronfa.swan.ac.uk/Record/cronfa28428
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first_indexed 2016-06-02T18:23:29Z
last_indexed 2018-02-09T05:12:31Z
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spelling 2016-08-08T12:44:23.2240156 v2 28428 2016-06-02 The QCD equation of state for two flavours at non-zero chemical potential de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH 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. Journal Article Nuclear Physics A 774 837 840 03759474 31 12 2006 2006-12-31 10.1016/j.nuclphysa.2006.06.023 http://inspirehep.net/record/693756 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:44:23.2240156 2016-06-02T15:05:46.0299359 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics S. Ejiri 1 E. Laermann 2 F. Karsch 3 K. Redlich 4 S.J. Hands 0000-0001-5720-7852 5 O. Kaczmarek 6 M. Doring 7 Chris Allton 0000-0003-0795-124X 8
title The QCD equation of state for two flavours at non-zero chemical potential
spellingShingle The QCD equation of state for two flavours at non-zero chemical potential
Chris Allton
title_short The QCD equation of state for two flavours at non-zero chemical potential
title_full The QCD equation of state for two flavours at non-zero chemical potential
title_fullStr The QCD equation of state for two flavours at non-zero chemical potential
title_full_unstemmed The QCD equation of state for two flavours at non-zero chemical potential
title_sort The QCD equation of state for two flavours at non-zero chemical potential
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 S. Ejiri
E. Laermann
F. Karsch
K. Redlich
S.J. Hands
O. Kaczmarek
M. Doring
Chris Allton
format Journal article
container_title Nuclear Physics A
container_volume 774
container_start_page 837
publishDate 2006
institution Swansea University
issn 03759474
doi_str_mv 10.1016/j.nuclphysa.2006.06.023
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/693756
document_store_str 0
active_str 0
description 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.
published_date 2006-12-31T03:34:34Z
_version_ 1763751466515824640
score 11.036706

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