recent developments in lattice qcd p é ter petreczky
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Recent developments in lattice QCD P é ter Petreczky Physics Department and RIKEN-BNL. Thermodynamics of 2+1 flavor QCD for nearly physical quark masses Equation of State Quark number and strangeness fluctuations - PowerPoint PPT PresentationTRANSCRIPT
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Recent developments in lattice QCD Péter Petreczky Physics Department and RIKEN-BNL
Early time dynamics in Heavy Ion Collisions, McGill University, Montréal, July 16-19, 2007
• Thermodynamics of 2+1 flavor QCD for nearly physical quark masses 1. Equation of State 2. Quark number and strangeness fluctuations3. Color screening at high temperatures
• Quarkonium correlators1. Quarkonium properties at T>02. Transport contribution to quarkonium correlators
• Conclusions
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Lattice calculations with p4fat3 action
fat3 link improvement of flavor symmetry
next-to-nearest neighbors (p4) rotational symmetry to
RBC-Bielefeld collaboration : Ejiri, Karsch, Jung, P.P, Schmidt, Umeda (BNL) Cheng, Christ, Mawhiney (Columbia), Datta (Mumbai), Petrov (NBI)
Doering, Van der Heide, Kaczmarek, Laermann, Miao (Bielefeld)
RHMC algorithm : x 20 speedup at small m
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Equation of State
• Calculations : , and lattices, and along the line of constant physics ( LCP ) : are varied in the way physical quantities, e.g. and
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Equation of State (cont’d)
• rise in the entropy and energy density happens in the same temperature interval where the rapid change of the chiral condensate and Polyakov loop takes place
• no large cutoff dependence in the pressure and entropy denisty
• deviation from ideal gas limit is about 10% at high T
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Equation of State (cont’d)
(2+1) flavor QCD
Resummed perturbative calculations from :Blaizot, Iancu, Rebhan, hep-ph/0303185
Lattice data on pressure and entropy density at high temperatures can be described by re-summed perturbation theory
qualitative agreement with resonance gas at low T
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Quark number and strangeness fluctuations
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Static quark anti-quark free energy in 2+1f QCD
preliminary
preliminary
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Static quark anti-quark free energy in 2+1f QCD
preliminary
preliminary
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Lattice results on charmonium spectral functions
Umeda et al, EPJ C39S1 (05) 9 Asakawa, Hatsuda, PRL 92 (04) 012001 Datta et al, PRD 69 (04) 094507
1S charmonium survives deconfinement :
more recently confirmed by :Iida et al, PRD74 (06) 074502 Aarts et al, arXiv:0705.2198 [hep-lat]
This seemingly contradicts to largecolor screening of static charges !
No problem lattice resultscan be reproduced using potential models:Shuryak, Zahed, PRD 70 (04) 054507Wong, PRC 72 (05) 03496Alberico et al, PRD 72 (05) 114011Rapp, Cabrera, hep-ph/0610254Wong, Crater, PRD 75 (07) 034505Alberico et al, PRD 75 (07) 074009
New high statistics with careful analysis of systematic errors: Jakovác, P.P., Petrov, Velytsky, PRD 75 (07) 014506
Are potential model applicable atT>0 ? Mócsy, P.P., PRD 73 (06) 074007
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Charmonia spectral functions at T=0
Jakovác, P.P., Petrov, Velytsky, PRD 75 (07) 014506
For the spectral function is sensitive to lattice cut-off ;Strong default model dependence in the continuum region
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If there is no T-dependence in the spectral
function,
0 ))2/(sinh(
))2/(1(cosh(),(),(
T
TTdTG
temperature dependene of ),( TG
Charmonia correlators at T>0
PS SC
in agreement with previous calculations: Datta et al, PRD 69 (04) 094507
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Charmonia spectral functions in PS channel at T>0
ground state peak is shifted, excitedstates are not resolved when become small
no temperature dependence in thePS spectral functions within errors
Jakovác, P.P., Petrov, Velytsky, PRD 75 (07) 014506
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Vector correlator and heavy quark diffusion
Effective Langevin theory Free streaming :Collision less Boltzmann equation
1S charmonium states survies
Interactions
P.P., Petrov, Velytsky, Teaney, hep-lat/0510021
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P.P., Teaney PRD73 (06) 014508
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Summary
• Pressure, energy density and entropy density have be calculated at two latticespacing show a rapid rise at temperature in agreement with
deviation from the ideal gas limit is about 10% for temperatures andno significant cutoff dependence has been seen
Cheng et al, PRD 75 (07) 034506
• Fluctuations of quark number and strangeness at high temperatures are close to the ideal gas limit
• Interactions between static quarks are strongly screened in the quark gluon plasma,the onset of screening is seen at distances comparable to the 1S quarkonium size
• S-wave charmonium correlators are temperature independent and there isno T-dependence in the reconstructed spectral functions, however, details are notresolved Can 1S charmonia exist in the plasma ? What about color screening ?see talk by Ágnes Mócsy
• Transport contribution to charmonium correlators have been isolated : small thermal velocity for heavy quarks, no constraint on the diffusion constant
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Aoki et at, JHEP 0601 (2006) 089 (impr. flavor symmetry only)
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