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QCD Thermodynamics: Taylor expansion and imaginary chemical potential

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 .

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QCD Thermodynamics: Taylor expansion and imaginary chemical potential

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  1. 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

  2. Picture: NSAC long range plan MpL xQCD2010

  3. MpL xQCD2010

  4. Two complementary approachesto the QCD phase diagram • Imaginary chemical potential • Taylor expansion MpL xQCD2010

  5. Two complementary approachesto the QCD phase diagram • Imaginary chemical potential: main problem, control over analytic continuation MpL xQCD2010

  6. Two complementary approachesto the QCD phase diagram • Taylor expansion: main problem, control of the convergence Works Inside circle MpL xQCD2010

  7. 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 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 MpL xQCD2010

  9. MpL xQCD2010

  10. MpL xQCD2010

  11. The pseudocritical line MpL xQCD2010

  12. The pseudocritical line MpL xQCD2010

  13. Simulations and Results MpL xQCD2010

  14. MpL xQCD2010

  15. Thermodynamics and Taylor expansion MpL xQCD2010

  16. MpL xQCD2010

  17. MpL xQCD2010

  18. Phase of the Polyakov loop MpL xQCD2010

  19. Susceptibility of the Polyakov loop MpL xQCD2010

  20. Chiral condensate MpL xQCD2010

  21. The critical line MpL xQCD2010

  22. The critical line, ctd’ MpL xQCD2010

  23. Quark Density MpL xQCD2010

  24. 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) MpL xQCD2010

  25. Quark density and Taylorexpansion MpL xQCD2010

  26. MpL xQCD2010

  27. 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 MpL xQCD2010

  28. Outlook MpL xQCD2010

  29. MpL xQCD2010

  30. MpL xQCD2010

  31. MpL xQCD2010

  32. MpL xQCD2010

  33. Singularities limit the radius of convergence This can be computed from the Taylor expansion and observed at purely imaginary m MpL xQCD2010

  34. S. Gupta, Lattice 2010 S. Gupta @ Lattice2010 MpL xQCD2010

  35. Taylor expansion around mI MpL xQCD2010

  36. Use imaginary m to validateradius of convergence • Imaginary cemical potental • Taylor expansion CandiCan Observed radius Of convergence Check radius of convergence here! MpL xQCD2010

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