Jet Propagation and Mach Cones in (3+1)d Ideal Hydrodynamics Barbara Betz, Miklos Gyulassy, Dirk Rischke, Horst Stöcker and Giorgio Torrieri

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Outline I.Motivation: Jets in heavy-ion collisions II.Jets in (3+1)d ideal hydrodynamics Different energy-momentum deposition models  Particle Correlation Pattern III.Conclusions & Outlook

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Jets & Medium Response Peaks reflect interaction of jet with medium Re-appearance of the away-side for low and intermediate p T assoc PHENIX arXiv: [nucl-ex] Au+Au / p+p = 200 GeV STAR, Nucl. Phys. A774, 129 (2006) 4 < p T trigger < 6 GeV/c 0.15 < p T assoc < 4 eV/c Jet suppression: signal for QGP STAR PRL 91 (2003) < p T trigger < 6 GeV/c p T assoc > 2 GeV/c

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt  Solve numerically (3+1)d ideal hydrodynamics:  Source term given by jet energy loss  Different models describing jet energy loss R. Baier et al., Nucl. Phys. B438, 291 (1997) M. Gyulassy et al., Nucl. Phys. B571, 197 (2000) J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006), arXiv: [hep-ph] H. Liu et al., PRL 97, (2006) A. Majumder et al., PRL 99, (2007) T. Renk et al., Phys. Rev. C75, (2007) G.-Y. Qin et al., Phys. Rev. C76, (2007) R. Neufeld et al., arXiv: [hep-ph] Jets & Deposition Scenarios

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt We use: a)Pure energy deposition b)Pure momentum deposition c)Energy and momentum deposition Deposition Scenarios Hydro

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Energy-momentum deposition for Bag model EoS for QGP  Neglect near-side jet  Study jet evolution in a homogeneous, non– expanding background  Isochronous freeze-out at Jets in (3+1)d Ideal Hydro

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Need high – p T cuts Otherwise thermal smearing washes out signal due to high background temperature Pure Energy Deposition I

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Cone–like structure for small–p T cuts Pure Energy Deposition II

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt More pronounced: –higher or p T –consistent with J. C.-S. et al. Pure Energy Deposition –Mach cone pattern J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) Pure Energy Deposition III

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Diffusion wake causes Disappearance of Mach cone–like pattern peak in forward direction Pure Momentum Deposition

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Combined Deposition I

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Mach cone–like pattern for J. Casalderrey-Solana et al. J. Casalderrey-Solana et al., Nucl. Phys. A 774, 577 (2006) Combined Deposition II

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Mach cone correlation pattern -appears only if otherwise: Diffusion wake kills the Mach cone – like pattern -is not visible for cuts similar to experiment if Further investigations: realistic energy – momentum deposition scenario expanding medium Conclusions & Outlook

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt Backup

03 / 13 / 08 Barbara Betz DPG Tagung 2008, Darmstadt On-shellness: Energy-Momentum Relation Heisenbergs uncertainty relation: Large number of collisions small large