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Hot 1-2 Loop QCD***

B. Kämpfer. Research Center Dresden-Rossendorf Technical University Dresden. Hot 1-2 Loop QCD***. real, purely imaginary. 100 MeV – 100 GeV. G^2 HTL QPM  eQPM vs. lattice QCD. ***: M. Bluhm, R. Schulze, D. Seipt. universe. quarks & gluons. SPS. LHC. RHIC. AGS. SIS. hadrons.

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Hot 1-2 Loop QCD***

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  1. B. Kämpfer Research Center Dresden-Rossendorf Technical University Dresden Hot 1-2 Loop QCD*** real, purely imaginary 100 MeV – 100 GeV G^2 HTL QPM  eQPM vs. lattice QCD ***: M. Bluhm, R. Schulze, D. Seipt

  2. universe quarks & gluons SPS LHC RHIC AGS SIS hadrons Andronic, PBM, Stachel: *

  3. HTL QPM CJT symmetry preserving appoximations:

  4. 2-Loop Approximation  1-loop self-energies + HTL self-energies  gauge invariance

  5. Λ Karsch et al.

  6. Non-Zero Mu flow equation now forbidden p = 0 R. Schulze

  7. Down to T = 0 Rapidly Rotating Quark Stars with R. Meinel, D. Petroff, C. Teichmuller (Univ. Jena) exact (numerical) solution of Einstein equation (axisymmetry & stationarity)  free boundary problem Tc matters shedding limit: kinky edge

  8. HTL QPM  eQPM , 2+1 neglect small contributions  eQPM + asympt. disp. relations collect. modes + Landau

  9. Purely Imaginary Mu Nf = 4 M.P. Lombardo et al. T=3.5,2.5,1.5,1.1 Tc cont. to real mu: polyn. cont. Roberge-Weiss Z3 symmetry M.Bluhm

  10. Going to High Temperatures Fodor et al. Boyd et al. region of fit Aoki et al. M.Bluhm

  11. Susceptibilities: Test of Mu Dependence  10% problem data: Allton et al., Nf = 2

  12. data: Allton et al., Nf = 2

  13. also good agreement with Gavai-Gupta data for data: Allton et al., Nf = 2 sensible test of flow eq. & baryon charge carriers (no di-quarks etc. needed)

  14. Examples of Side Conditions T = 1.1 Tc d u e solid: pure Nf=2 quark matter, electr.neutr. dashed: Nf=2 quark matter + electrons in beta equilibrium

  15. Naive chiral extrapolation Karsch et al. Cheng et al. CFT Pisarski formula for plasma frequency not really supported by 1-loop self-energies

  16. Quark mass dependence of 1-loop self-energies Feynman gauge gluons plasmons G dispersion relation g = 0.3 g = 1 g = 3

  17. quarks plasmino (2) dispersion relations g = 0.3 g = 1 g = 3

  18. D. Seipt 2007: 1-loop self-energies with finite m_q HTL 1-loop gauge dependence: Feynman = Coulomb asymptotically asymptotic dispersion relations

  19. Using the EoS RHIC Init.conds. Bernard 0.2 Karsch Bernard 0.1 Aoki Nf = 2 +1

  20. A Family of EoS‘s QPM + lin.interpol. + + fix * sound waves interpolation is better than extrapolation

  21. Hydro for RHIC Using the EoS Family within Kolb-Heinz Hydro Package sensitivity to EoS near Tc (cf. Huovinen)

  22. LHC Predictions smaller v2

  23. Towards CBM @ FAIR: CEP 3 D Ising model

  24. Conclusions 2-loop Γ+ HTL + g  G: - good fits of EoS - small contributions of plasmon, plasmino, Landau damp. effective QPM: only T gluons + quarks, simpl. disp. rel. - imaginary mu - high T - susceptibilities - useable EoS for RHIC + LHC elementary excitations in QGP = ? lattice QCD  spectral functions, propagators (transport coefficients)

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