QCD phase diagram at small densities from simulations with imaginary mu

We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered quarks, we map out the phase diagram and identify the pseud...

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Detalles Bibliográficos
Autores principales: de Forcrand, P., Philipsen, O.
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1142/9789812704498_0027
http://cds.cern.ch/record/602350
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author de Forcrand, P.
Philipsen, O.
author_facet de Forcrand, P.
Philipsen, O.
author_sort de Forcrand, P.
collection CERN
description We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T_c(mu_I). For mu_I/T \leq pi/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real mu, yielding the corresponding phase diagram for mu_B \lsim 500 MeV. This approach provides control over systematics and avoids reweighting. We outline our strategy to find the (2+1)-flavor critical point.
id cern-602350
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6023502019-09-30T06:29:59Zdoi:10.1142/9789812704498_0027http://cds.cern.ch/record/602350engde Forcrand, P.Philipsen, O.QCD phase diagram at small densities from simulations with imaginary muParticle Physics - PhenomenologyWe review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T_c(mu_I). For mu_I/T \leq pi/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real mu, yielding the corresponding phase diagram for mu_B \lsim 500 MeV. This approach provides control over systematics and avoids reweighting. We outline our strategy to find the (2+1)-flavor critical point.We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T_c(mu_I). For mu_I/T \leq pi/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real mu, yielding the corresponding phase diagram for mu_B \lsim 500 MeV. This approach provides control over systematics and avoids reweighting. We outline our strategy to find the (2+1)-flavor critical point.We review our results for the QCD phase diagram at baryonic chemical potential µ<sub>B</sub> ≤ πT. Our simulations are performed with an imaginary chemical potential µ<sub>I</sub> for which the fermion determinant is positive. For 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T<sub>c</sub>(µ<sub>I</sub>). For µ<sub>I</sub>/T ≤ π/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real µ, yielding the corresponding phase diagram for . This approach provides control over systematics and avoids reweighting. We outline our strategy to find the (2+1)-flavor critical point.hep-ph/0301209oai:cds.cern.ch:6023502003-01-23
spellingShingle Particle Physics - Phenomenology
de Forcrand, P.
Philipsen, O.
QCD phase diagram at small densities from simulations with imaginary mu
title QCD phase diagram at small densities from simulations with imaginary mu
title_full QCD phase diagram at small densities from simulations with imaginary mu
title_fullStr QCD phase diagram at small densities from simulations with imaginary mu
title_full_unstemmed QCD phase diagram at small densities from simulations with imaginary mu
title_short QCD phase diagram at small densities from simulations with imaginary mu
title_sort qcd phase diagram at small densities from simulations with imaginary mu
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1142/9789812704498_0027
http://cds.cern.ch/record/602350
work_keys_str_mv AT deforcrandp qcdphasediagramatsmalldensitiesfromsimulationswithimaginarymu
AT philipseno qcdphasediagramatsmalldensitiesfromsimulationswithimaginarymu

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