Hot 1-2 Loop QCD***

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.

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

8. 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

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

10. 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

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

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

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

14. 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)

15. 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

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

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

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

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

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

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

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

23. LHC Predictions smaller v2

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

25. 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)