Dynamical modeling of the chiral magnetic effect in heavy-ion collisions [arXiv: ] Yuji Hirono [Stony Brook Univ.] Collaborators: T. Hirano[Sophia U], D. E. Kharzeev [SBU/BNL] 1
2 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013]
[STAR, PRL2009, PRC2010] 3 Anomalous transport in heavy-ion collisions? [ALICE, PRL2013] Outline 1. Physical meaning of obs. 2. EbE anomalous hydro 3. Results
Charge dependent correlations [STAR] 4
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6 B
7 B
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10 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random
Event-by-event anomalous hydrodynamic model 11 Anomalous hydro evolution Freeze-out Correlations Initial state An initial cond. Particle data for 1 event
Non-dissipative anomalous fluid in 3+1D no viscosity/Ohmic conductivity Background electromagnetic fields Anomalous hydrodynamics equations 12
Equation of state - conformal massless quarks & gluons Anomalous hydrodynamics equations 13 Constitutive equations CME CSE [Son & Surowka (2009)] [Kalaydzhyan & Kirsch (2011)]
MC Sampling of particles Isothermal hypersurface Linux cluster at Sophia Univ cores - A few days per 100k events Linux cluster at Sophia Univ cores - A few days per 100k events Can be written as 1D integral! [ PPNP70, 108[arxiv: ] ] K. Murase [U-Tokyo]
15 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓
Sources of axial charges Color flux tubes Electromagnetic field QCD sphalerons 16 Spatially random Random & Coherent Diffusive & fluctuation
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: # of pairs : # of ( ) Axial charges from color flux tubes 21
Axial charges from color flux tubes 22
Axial charges from color flux tubes 23 Sign of
Axial charges from color flux tubes 24 Sign of
estimated by anomaly equation 25
26 - RHIC energy - b=7.2fm(20-30%) - B
27 - RHIC energy - b=7.2fm(20-30%) - 27 B
28 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓ ✓
Correlations 29 same-charge opposite-charge
Correlations:, 30 - b=7.2(20-30%) - RHIC energy - 100k events -
Why fluctuation also become larger? 31
Correlations:, 32 - b=7.2(20-30%) - RHIC energy - 100k events - Anti-correlation btw. &___
(same) vs centrality 33
(opposite) vs centrality 34
Background effects Transverse momentum conservation Local charge conservation Cluster particle correlations 35 [ S. Pratt, S. Schlichting, S. Gavin, PRC(2011) ] [ S. Schlichting and S. Pratt, PRC(2011) ] [ F. Wang, PRC(2010) ] [ A. Bzdak, V. Koch, J. Liao, PRC(2011) ] In our current simulations, multi-particle correlations are not imposed Cooper-Frye formula → single-particle distributions [ Y. Hori, S. Schlichting, et al [ ] ]
36 Anomalous transport in heavy-ion collisions? [STAR, PRL2009, PRC2010] [ALICE, PRL2013] □Event-by-event anomalous hydro □Initial random ✓ ✓ Outlook pt & eta dependence / parameter dependence (√s, tau_B, …) Back reaction/Dissipations/CVE/realistic EOS/… Better experimental observables
Possible improvements 37 Anomalous hydro evolution Freeze-out Correlations Initial state - n5 profile based on CGC - Charge separation in glasma - More realistic EOS with mu & mu5 dep. - Chiral vortical effect - Backreaction to EM field - Dissipational effects - viscosity - conductivity - Multi-particle corr. - Differential analysis - eta, pt - Parameter dep. - Cmu5, B, √s - New obs. insensitive to background
Backup slides 38
Background magnetic fields 39
vs centrality 40
Electromagnetic fields 41
Harmonics Azimuthal angle distribution of observed particles Represents the shape the flow 42 “triangle”“elliptic” “directed”
Charge dependent correlations [STAR] 43
MC-Glauber initial condition 44