qcd thermodynamics: taylor expansion and imaginary chemical potential
DESCRIPTION
Extreme QCD 2010 21-23 June 2010 At the Physikzentrum Bad Honnef . QCD Thermodynamics: Taylor expansion and imaginary chemical potential . Rossella Falcone, Edwin Laermann, Maria Paola Lombardo. Rossella Falcone , Talk at Lattice 2010 Work in progress . - PowerPoint PPT PresentationTRANSCRIPT
QCD Thermodynamics:Taylor expansion and imaginary
chemical potential
Rossella Falcone, Edwin Laermann,Maria Paola Lombardo
Extreme QCD 2010
21-23 June 2010At the Physikzentrum Bad Honnef
Rossella Falcone, Talk at Lattice 2010 Work in progress
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Picture: NSAC long range plan
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Two complementary approachesto the QCD phase diagram
• Imaginary chemical potential
• Taylor expansion
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Two complementary approachesto the QCD phase diagram
• Imaginary chemical potential: main problem, control over analytic continuation
22/06/2010
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Two complementary approachesto the QCD phase diagram
• Taylor expansion: main problem, control of the convergence
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WorksInsidecircle
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Combine Taylor expansion and imaginary chemical potential :
• Slope of the (pseudo)critical line• Precision thermodynamics• Control of the convergence of the m series• How do(es) the critical point(s) affect the
convergence of the series (R. Gavai, M. Stephanov, M. Wagner talks)
• Physics around the kinetic/chemical freezout
22/06/2010
MpL xQCD2010 8
Combine Taylor expansion and imaginary chemical potential :
• Slope of the (pseudo)critical line• Precision thermodynamics• Control of the convergence of the m
series• How do(es) the critical point(s) affect the
convergence of the series (R. Gavai, M. Stephanov, M. Wagner talks)
• Physics around the kinetic/chemical freezout
22/06/2010
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The pseudocritical line
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The pseudocritical line
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Simulations and Results
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Thermodynamics and Taylor expansion
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Phase of the Polyakov loop
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Susceptibility of the Polyakov loop
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Chiral condensate
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The critical line
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The critical line, ctd’
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Quark Density
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Singular behaviour at the End point of the RW transition Nf=4 (D,Elia, di Renzo, Lombardo (2007)) Nf=2 (D’Elia, Sanfilippo(2009))Nf=3 (de Forcrand, Philipsen (2009)
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Quark density and Taylor expansion
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Summary:
(Preliminary) Results for improved staggered quarks with physical quark masses for
- the slope of the critical line for staggered fermions
-precision thermodynamics above Tc
Combined imaginary chemical potential and Taylor expansion control over radius of convergence
Outlook:
Analysis of the freezout region Control over estimates of the endpoint
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Outlook
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Singularities limit the radius of convergence
This can be computed from the Taylor expansion and observed at purely imaginary m
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S. Gupta @ Lattice2010
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S. Gupta, Lattice 2010
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Taylor expansion around mI
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Use imaginary m to validateradius of convergence
• Imaginary cemical potental
• Taylor expansion
22/06/2010
Observed radiusOf convergence
CandiCan
Check radius of convergence here!