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The equation of state for two flavor QCD at finite density

S. Ejiri, E. Laermann, F. Karsch, C. Schmidt, S.J. Hands Orcid Logo, O. Kaczmarek, Chris Allton Orcid Logo

Nuclear Physics B - Proceedings Supplements, Volume: 129-130, Pages: 545 - 547

Swansea University Author: Chris Allton Orcid Logo

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Abstract

We discuss the equation of state for QCD at non-zero temperature and density. We present results of a simulation for QCD with 2 flavors of p4-improved staggered fermions. Derivatives of $\ln {\cal Z}$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated, enabling estima...

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Published in: Nuclear Physics B - Proceedings Supplements
ISSN: 09205632
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa28432
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first_indexed 2016-06-02T18:23:30Z
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spelling 2016-08-08T12:42:36.1281458 v2 28432 2016-06-02 The equation of state for two flavor QCD at finite density de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH We discuss the equation of state for QCD at non-zero temperature and density. We present results of a simulation for QCD with 2 flavors of p4-improved staggered fermions. Derivatives of $\ln {\cal Z}$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated, enabling estimates of the pressure, quark number density and associated susceptibilities as functions of $\mu_q$ via a Taylor series expansion. We also discuss the radius of convergence of the expansion as a function of temperature. 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 $(T, \mu_q)$ plane. Journal Article Nuclear Physics B - Proceedings Supplements 129-130 545 547 09205632 31 12 2004 2004-12-31 10.1016/S0920-5632(03)02636-7 http://inspirehep.net/record/628167 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:42:36.1281458 2016-06-02T15:05:50.3355635 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics S. Ejiri 1 E. Laermann 2 F. Karsch 3 C. Schmidt 4 S.J. Hands 0000-0001-5720-7852 5 O. Kaczmarek 6 Chris Allton 0000-0003-0795-124X 7
title The equation of state for two flavor QCD at finite density
spellingShingle The equation of state for two flavor QCD at finite density
Chris Allton
title_short The equation of state for two flavor QCD at finite density
title_full The equation of state for two flavor QCD at finite density
title_fullStr The equation of state for two flavor QCD at finite density
title_full_unstemmed The equation of state for two flavor QCD at finite density
title_sort The equation of state for two flavor QCD at finite density
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 S. Ejiri
E. Laermann
F. Karsch
C. Schmidt
S.J. Hands
O. Kaczmarek
Chris Allton
format Journal article
container_title Nuclear Physics B - Proceedings Supplements
container_volume 129-130
container_start_page 545
publishDate 2004
institution Swansea University
issn 09205632
doi_str_mv 10.1016/S0920-5632(03)02636-7
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/628167
document_store_str 0
active_str 0
description We discuss the equation of state for QCD at non-zero temperature and density. We present results of a simulation for QCD with 2 flavors of p4-improved staggered fermions. Derivatives of $\ln {\cal Z}$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated, enabling estimates of the pressure, quark number density and associated susceptibilities as functions of $\mu_q$ via a Taylor series expansion. We also discuss the radius of convergence of the expansion as a function of temperature. 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 $(T, \mu_q)$ plane.
published_date 2004-12-31T03:34:34Z
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