Travis Salzillo1,2, Rainer Fries1, Guangyao Chen1

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Presentation transcript:

Travis Salzillo1,2, Rainer Fries1, Guangyao Chen1 Monte Carlo Simulation of Partons and Gluon Fields in Ultra-Relativistic Heavy Ion Collisions Travis Salzillo1,2, Rainer Fries1, Guangyao Chen1 1 Cyclotron Institute, Texas A&M University 2 REU student from Tarleton State University

Overview Introduction to QCD and CGC Motivation of project Distribution of partons in nuclei Calculation of color charge density Computation of energy-momentum tensor Future work

Heavy Ion Collisions Quark Gluon Plasma Notable experiments: RHIC at Brookhaven LHC at CERN

What is QCD Quantum Chromodynamics- theory behind interactions of quarks and gluons through strong nuclear force Studied experimentally through heavy ion collisions, deep inelastic scattering, etc

QCD vs QED SU(3) vs U(1) Gluons vs Photons Quarks vs Leptons Color charge and flavors Confinement Asymptotic Freedom

Color Glass Condensate (CGC) “Color” represents the color charge of the quarks and gluons “Glass” is used to describe the slow evolution of gluon fields “Condensate” characterizes the high density of gluons inside the nucleons

Motivation One outstanding problem in QCD is the determination of initial conditions for QGP dynamics Results of this project can be implemented in hydrodynamics code as initial conditions for the transport of QGP CGC Unknown Hydrodynamics Time Evolution of QGP

Probability Density Functions Nucleons positioned through Woods-Saxon distribution Partons distributed uniformly in each nucleon Lorentz contraction and effect on distributions L1 r1 R

Nucleon/Parton Positioning X y Two colliding gold nuclei with impact parameter =7 fm Sampled gold nucleus

Averaged nucleon and parton positions Energy Density Averaged nucleon and parton positions Each nucleus has a Woods-Saxon color charge density, μ2 Two colliding nuclei (shown in black) with impact parameter = 7

Sampled Energy Densities Color Charge calculated by giving each nucleon a Gaussian color charge with σ = 0.6 fm. Color charge density is then the sum of individual nucleon color charges Energy Densities with b = 7 fm 1 Trial 50 Trials

Sampled Energy Densities 1000 trials Averaged Almost identical results!

Energy-Momentum Tensor Poynting Vector with averaged nucleon positions Poynting Vector with sampled nucleon positions (1000 trials) Rapidity = 0 Rapidity = 0 x x b=7 y y

Energy-Momentum Tensor Spacetime Rapidity = 1 Spacetime Rapidity = 1 x x b=7 y y

Future Work Calculate energy density and flow with sampled parton positions Exploring other ways of sampling for more accurate results

Acknowledgments Dr. Rainer Fries Guangyao Chen A&M Cyclotron Institute

References E. Iancu, A. Leonidov, L. McLerran, The Colour Glass Condensate: An Introduction, hep-ph/0202270v1 H. Kowaiski, D. Teaney, An Impact Parameter Dipole Saturation Model, hep-ph/0304189 M. Miller, K. Reygers, S. Sanders, P. Steinberg, Glauber Modeling in High Energy Nuclear Collisions, nucl-ex/0701025v1 P. Sahu, S. Phatak, Y. Viyogi, Quark Gluon Plasma and Hadron Physics http://www.quantumdiaries.org/author/zoe/ http://phys.org/news/2012-07-physicists-primordial-soup.html http://www.spontaneoussymmetry.com/blog/archives/17 http://vi.sualize.us/3_gluon_coupling_feynman_diagram_picture_u7nE.html