Phase transitions and critical fluctuations

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Presentation transcript:

Phase transitions and critical fluctuations Scale-dependent analysis of <pt> correlations Harald Appelshäuser Institut für Kernphysik Goethe Universität Frankfurt CERES, Nuclear Physics A811 (2008) Phd thesis Georgios Tsiledakis Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 QCD phase diagram T QGP Hadrons μB Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 QCD phase diagram from Forcrand and Philipsen, JHEP 01 (2007) The more is understood, the less is known. Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 QCD phase diagram Andronic, Braun-Munzinger, Stachel NPA772 (2006) at all energies, all hadron abundancies are in thermal equilibrium  T, μB Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 QCD phase diagram Andronic, Braun-Munzinger, Stachel; arXiv:0812.1186 a temperature limit (≈165 MeV) is reached beyond √sNN≈10 GeV Hagedorn‘s limiting temperature? higher temperatures must „exist“ though, but not in the hadronic world!  The phase transition? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 fluctuations Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 fluctuations Temperature fluctuations are suppressed in the vicinity of the phase boundary if <pt> is measure for T, <pt> fluctuations should also be suppressed Stodolsky, PRL 75 (1995) Shuryak, PLB423 (1998) Stephanov, Rajagopal, Shuryak PRL 81 (1998) BUT: <pt> may not be a good measure for the temperature: Stephanov, Rajagopal, Shuryak PRD 60 (1999): BE-occupation number fluctuations, effects of thermal contact of pions to heat bath, coupling of pions to fluctuating sigma field etc etc etc  <pt>fluctuations should be enhanced, in particular in the vicinity of the CP Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 fluctuations LQCD Allton et al., PRD 71 (2005) Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 QCD phase diagram expect divergence of susceptibilities near the critical point detectable by correlation/fluctuation measurements (e.g. mean pt) locate the critical point in the T-mb plane by variation of an experimental control parameter x (√s, centrality,…) T quarks and gluons deconfined ~170 MeV critical point hadrons confined color superconductor x σ2 m0 mb Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

search for fluctuations ? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

search for pt-fluctuations LQCD: ideal world Heavy-ion collision: finite system size and lifetime, thermalization? can signatures survive subsequent evolution? other sources of „fluctuations“ (correlations): E- and p-conservation resonance decays collective flow quantum statistics mini-jets and their modification etc detector effects need a model which describes all this correctly this model doesnt exist Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 pt fluctuations in AA STAR PRC72 (2005) central Pb-Au Au-Au CERES NPA727(2003)97 s2pt,dyn = s2data - s2mixed dynamic contribution is quadratically small but significant Mpt (GeV/c) Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Energy dependence in AA x σ2 CERES, NPA811 (2008) dynamic contribution is independent of beam energy  trivial? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Energy dependence in AA Braune et al. Phys.Lett. 123B (1983) ~12% CERES, NPA811 (2008) dynamic contribution is independent of beam energy  trivial? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Energy dependence in AA Braune et al. Phys.Lett. 123B (1983) UA5 Phys.Rep. 154 (1987) ~12% CERES, NPA811 (2008) dynamic contribution is independent of beam energy  trivial? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

pt fluctuations – centrality dependence NA49 NA49 PRC70 (2004) CERES, JPG30(2004) CERES strong decrease of correlations in more central events  dilution non-trivial centrality dependence  thermalization, flow saturation, elliptic flow, jets, phase transition, percolation point, critical point…? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis the scale dependence of momentum correlations carries information about their origin and may allow a separation of different contributions are correlations short- or long-ranged in φ, η, pt? momentum correlator <Δpt,iΔpt,j> : STAR PRC72(2005) in inclusive analyses: but correlator allows also a selection in Δη, Δφ, Δpt, charge,… Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 CERES Experiment 0 < f < 2p 2.1 < h < 2.6 TPC 2000: 158 AGeV/c 35M Pb-Au events Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis - ΔφΔη central Pb-Au 158 AGeV <Δpt,iΔpt,j> (MeV/c)2 CERES, NPA811 (2008) dominant short-range component weak back-to-back structure Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis - ΔφΔη central Pb-Au 158 AGeV <Δpt,iΔpt,j> (MeV/c)2 <Δpt,iΔpt,j> (MeV/c)2 <Δpt,iΔpt,j> (MeV/c)2 CERES, NPA811 (2008) short range component from quantum correlations (HBT) very short range component from Coulomb, e+e- weak bump from resonances back-to-back component Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 pt-pt correlations cumulant pt variable x(pt): x(pt) CERES, NPA811 (2008) pt (GeV/c) pt (GeV/c)  x1(pt) vs. x2(pt) is flat in the absence of correlations Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

pt-pt correlations – Δφ dependence CERES, NPA811 (2008) Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

pt-pt correlations – charge dependence -- ++ +- 0 < Δφ < 300 CERES, NPA811 (2008) 150 < Δφ < 1800 Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis – centrality dependence CERES, NPA811 (2008) Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 CERES, NPA811 (2008) <Δpt,iΔpt,j> (MeV/c)2 158 AGeV Pb-Au central CERES preliminary Δφ shape and magnitude of flow dont match the data reminiscent of high-pt triggered correlations Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

scale-dependent analysis – centrality dependence CERES, NPA811 (2008) centrality dependence is strongly Δφ-dependent around 60 degrees fluctuations are very small Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 summary pt fluctuations exhibit a strong scale dependence observed structures can be qualitatively assigned to „trivial“ correlations from HBT, Coulomb, flow, minijets (not yet quantitatively confirmed) small margin for „critical“ fluctuations, if any is this consistent with initial state fluctuations, and thermodynamics, i.e finite CV ? Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009

Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009 x σ2 ? x σ2 Harald Appelshäuser, EMMI workshop Münster, Feb. 18-20, 2009