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Numerical study of the equation of state for two flavor QCD at non-zero baryon density

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

Swansea University Author: Chris Allton Orcid Logo

Abstract

We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure, quark number density and associated susceptibilities are est...

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Published: 2004
Online Access: http://inspirehep.net/record/657928
URI: https://cronfa.swan.ac.uk/Record/cronfa28452
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first_indexed 2016-06-02T18:23:34Z
last_indexed 2018-02-09T05:12:35Z
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spelling 2016-08-08T12:39:30.8593134 v2 28452 2016-06-02 Numerical study of the equation of state for two flavor QCD at non-zero baryon density de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure, quark number density and associated susceptibilities are estimated as functions of temperature and $\mu_q$. It is found that the fluctuations in the quark number density increase in the vicinity of the phase transition temperature and the susceptibilities start to develop a pronounced peak as $\mu_q$ is increased. This suggests the presence of a critical endpoint in the $(\mu_q, T)$ plane. Moreover, we comment on the hadron resonance gas model, which explains well our simulation results below $T_c$. Conference Paper/Proceeding/Abstract 31 12 2004 2004-12-31 http://inspirehep.net/record/657928 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:39:30.8593134 2016-06-02T15:06:10.3036915 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 Numerical study of the equation of state for two flavor QCD at non-zero baryon density
spellingShingle Numerical study of the equation of state for two flavor QCD at non-zero baryon density
Chris Allton
title_short Numerical study of the equation of state for two flavor QCD at non-zero baryon density
title_full Numerical study of the equation of state for two flavor QCD at non-zero baryon density
title_fullStr Numerical study of the equation of state for two flavor QCD at non-zero baryon density
title_full_unstemmed Numerical study of the equation of state for two flavor QCD at non-zero baryon density
title_sort Numerical study of the equation of state for two flavor QCD at non-zero baryon density
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 Conference Paper/Proceeding/Abstract
publishDate 2004
institution Swansea University
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/657928
document_store_str 0
active_str 0
description We discuss the equation of state (EoS) for two flavor QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ are calculated up to sixth order. From this Taylor series, the pressure, quark number density and associated susceptibilities are estimated as functions of temperature and $\mu_q$. It is found that the fluctuations in the quark number density increase in the vicinity of the phase transition temperature and the susceptibilities start to develop a pronounced peak as $\mu_q$ is increased. This suggests the presence of a critical endpoint in the $(\mu_q, T)$ plane. Moreover, we comment on the hadron resonance gas model, which explains well our simulation results below $T_c$.
published_date 2004-12-31T03:34:36Z
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score 11.013148

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