Chemical Freeze-out II Volume Dependence

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LGT results in 2+1 flavour QCD MILC Coll., hep-lat/0405029, hep-lat/0309118, hep-lat/0209079, Chiral condensate and susceptibility smooth change of the condensate with tempearture => crossoverNo change with => crossover ??? But:


No change with => crossover ??Not necessary: e.g. SU(2) pure gauge theory SU(2) gauge theory exhibits 2-end order phase transition However, no change of with if There is scaling of physical observables near critical region J. Engels, F. Karsch & K.R.


QCD at non-vanishing chemical potential Bielefeld-Swansea approachTaylor expansion of : , complex fermion determinant C.R. Allton, et al..


Change of T_c with chemical potentialFrom dependence of chiral susceptibilities


Chiral critical point in 3-flavour QCD Ch. Schmitd et al. Strong dependence of the position of second order endpoint on the quark mass! N_f=3, m=0.1 N_f=3, m=0.005T [MeV]miu [GeV]2-en ord.1-st ordercrossover transitionPure Gauge0. dependence of the slope on the quark massp4 improved action


The endpoint of QCD in T-miu_B plane Fodor & Katz 01, 04 Multiparameter reweighting: Lee-Yang zeroes: renormalized physical operatorFinite volume V: If and: phase transition crossover transition


Chemical freezeout curve from heavy ion data coincides with freezeout T at RHIC and SPC


space-time evolution -- thermalization Initial conditions, momentum distribution L. McLerran & R. Venugopalan model Thermalization: pQCD+kinetics R. Baier, A.H. Mueller, D.Schiff, D.T.Son At LHC and RHIC: thermalization occurs relatively fast due to emission of gluons also from Parton Cascade Model B. Müller, D.K.Srivastava Large elliptic flow at RHIC fast 1fm thermalization of partonic medium


Only 2-parameters needed to fix all particle yield ratios + approximate by experimentally known mass spectrum Statistical operator and mass spectrumresonance dominance (R. Hagedorn)Breit-Wigner res. particle yield thermal density BR thermal density of resonances


Chemical freezeout curve from heavy ion data coincides with freezeout T at RHIC and SPC Cleymans & RedlichM. Bleicher et al..


Particle Ratios along freezout curve Nu Xu & K.R 2000SPS


From Meson to Baryon dominance baryon density along freezeout curve P. Braun-Munzinger, et al.., F. Antinoriexplicit dependence cancelled


Heavy Ion Phenomenology through QCD Thermodynamics of confined phaseLattice Gauge Theory at finite and ?Based on common work with Bielefeld-Swansea LGT Coll. C.R. Allton, M. Doring, S. Ejiri, S.J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, K.R. & Shinji Ejiri, Frithjof Karsch


Taylor expansion of resonance pressure Factorization of the baryonic pressure Compare with LGT results: Consequences: For fixed any ratio of these observables is T-independent the ratio of the O(2) and O(4) coefficients: baryon mass spectrum


factorization on the Lattice


QCD partition function from LGT and Phenomenologycheck T-dependence c(T) Taylor coefficients of cosh(x)requires:


Isovector and electric charge fluctuations related with space-like screening limit of the retarded photon self-energy =0 for In LGT: obtained from ,however requires independent Monte-Carlo calculations ;


Charge Fluctuations Near DeconfinementS.N Jeon & V. Koch E. Shuryak & M. Stephanov U. Heinz & B. Muller …. Mass and quantum number gap between confined and deconfined phase


Isovector susceptibility in LGT and resonances gas on the lattice: expanding cosh(x) one expects: LGT result supports decomposition of meson baryon contribution in confined phase


quark condensate at finite density Baryon contribution:Net baryon pressureIn 2-flavour LGT calculations:


From LGT to HRG Phenomenology: quantitative analysis of T-dependence of thermodynamics In HRG the pressure can be appr. obtained from the Taylor coefficients of LGT results from Integral method provides good T-dependence of LGT pressureuse c’s from LGT check P?


Hadron Mass Spectrum versus quark mass chiral limit quenched limit extrapolate: from LGT or model


Hadron Mass Spectrum – LGT and Bag model resultsLGT results for pion mass dependence of and their parity partners2QCDSF Coll., M. Göckeler, et al..F. Karsch, A. Tawfik, K.R.


Bag Model and Hadron Masses -------------------- -------------------- --------------------- ------- --- ---------------------- ----------B----------- :surface boundary conditions Hadron Masses from: for and : q qggq


Hadron resonance gas model and LGT Thermodynamics phenomenological partition function of hadron resonance gas with LGT mass spectrum provides good description of lattice results below deconf.


Hadron resonance gas model and LGT thermodynamics

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Last Updated: 8th March 2018

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