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QCD Equation of State - Impact on elliptic flow and transverse momentum spectra

QCD Equation of State - Impact on elliptic flow and transverse momentum spectra. Forschungszentrum Dresden-Rossendorf. Marcus Bluhm. Comparison with lattice QCD Chiral extrapolation RHIC & LHC – v 2 , transverse momentum spectra. with B. Kämpfer, R. Schulze, D. Seipt & U. Heinz

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QCD Equation of State - Impact on elliptic flow and transverse momentum spectra

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  1. QCD Equation of State - Impact on elliptic flow and transverse momentum spectra Forschungszentrum Dresden-Rossendorf Marcus Bluhm • Comparison with lattice QCD • Chiral extrapolation • RHIC & LHC – v2, transverse momentum spectra with B. Kämpfer, R. Schulze, D. Seipt & U. Heinz supported by BMBF, GSI

  2. Motivation T early universe: µB <<< T WIMP‘s: Tf.o.~ MX / 25 p(e,nB) quark stars µB >> T RHIC LHC-ALICE µB < T µB

  3. Quasi-Particle Model CJT Σ 2-part. irred. diagr. 2-loop QCD thermodynamics MB et al., Eur. Phys. J. C 2007

  4. 2+1 asymptotic dispersion relations: k gluons chiral expansion in mq/T: k/mg replace g G finite widths Im ΠT≠ 0

  5. Equation of State sensible chiral extrapolation mq Πq = mq2 + 2mf2 h(mq/T) Nf=2+1 2000 … 2007 cs2 Tc = 170 MeV not testable: dependence on Nσ, Nτ, action, … Tc is external information

  6. Sensible µB - extrapolation Isospin susceptibility diagonal and non-diagonal susceptibilities c2I c4I T/Tc

  7. EoS for RHIC + LHC – Family of EoS‘s high energy density region fixed QPM µB = 0 + lin.interpol. + + fix * low density region fixed baryon density effects tiny

  8. RHIC top energy P.Kolb directly emitted hadrons strange baryons S0 = 110 fm-3 n0 = 0.4 fm-3 τ0 = 0.6 fm/c e0 = 29.8 GeV fm-3 p0 = 9.4 GeV fm-3 T0 = 357 MeV EoS favored with soft region around Tc and rapid increase above Tc

  9. LHC estimates e0 = 127 GeV fm-3 p0 = 42 GeV fm-3 T0 = 515 MeV conservative guess: s0 = 330 fm-3 , τ0 = 0.6 fm/c pT spectra flatter v2 at fixed pT smaller

  10. Summary & Outlook • Quasi-particle model based on 2-loop QCD Φ • Comparison with lattice QCD • Family of EoS‘s for RHIC & LHC – chiral extrapolation • Application: v2, p┴-spectra • soft EoS near Tc with rapid rise in cs2 above Tc favored • LHC: pT-spectra flatter, v2(pT) smaller • variation of EoS, initial & final conditions • event-by-event fluctuations, viscous effects

  11. Light hadrons

  12. Bielefeld-Swansea data neglect strong interaction QPM c0 lQCD D=1.15 „phase transition“ MB et al., PLB 2005 c2 c6 c4

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