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

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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Detalles Bibliográficos
Autores principales: Ejiri, S., Allton, C.R., Doring, M., Hands, S.J., Kaczmarek, O., Karsch, F., Laermann, E., Redlich, K.
Lenguaje:eng
Publicado: 2005
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysa.2006.06.023
http://cds.cern.ch/record/888292
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author Ejiri, S.
Allton, C.R.
Doring, M.
Hands, S.J.
Kaczmarek, O.
Karsch, F.
Laermann, E.
Redlich, K.
author_facet Ejiri, S.
Allton, C.R.
Doring, M.
Hands, S.J.
Kaczmarek, O.
Karsch, F.
Laermann, E.
Redlich, K.
author_sort Ejiri, S.
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
record_format invenio
spelling cern-8882922023-03-14T18:12:21Zdoi:10.1016/j.nuclphysa.2006.06.023http://cds.cern.ch/record/888292engEjiri, S.Allton, C.R.Doring, M.Hands, S.J.Kaczmarek, O.Karsch, F.Laermann, E.Redlich, K.The QCD equation of state for two flavours at non-zero chemical potentialParticle Physics - PhenomenologyWe 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.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.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.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.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.We present results of a simulation of 2 flavour QCD on a 16 3 × 4 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 , μ u , μ d ) with respect to chemical potentials μ 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 μ 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.hep-ph/0509361TKYNT-05-25SWAT-05-443BI-TP-2005-40BNL-NT-05-31CERN-PH-TH-2005-181BI-TP-2005-40BNL-NT-2005-31CERN-PH-TH-2005-181SWAT-2005-443TKYNT-2005-25oai:cds.cern.ch:8882922005-09-30
spellingShingle Particle Physics - Phenomenology
Ejiri, S.
Allton, C.R.
Doring, M.
Hands, S.J.
Kaczmarek, O.
Karsch, F.
Laermann, E.
Redlich, K.
The QCD equation of state for two flavours at non-zero chemical potential
title 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_short The QCD equation of state for two flavours at non-zero chemical potential
title_sort qcd equation of state for two flavours at non-zero chemical potential
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysa.2006.06.023
http://cds.cern.ch/record/888292
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