Dynamic Time Scales in Colored Glass Nuclear Matter Vivek Parihar A. Widom Y. N. Srivastava NORTHEASTERN UNIVERSITY, BOSTON, UNIV.of PERUGIA & INFN, ITALY ISSP ‘06

4/14/2019 VIVEK PARIHAR

VIVEK PARIHAR

hydrodynamic expansion initial state pre-equilibrium QGP and hydrodynamic expansion hadronization hadronic phase and freeze-out VIVEK PARIHAR

Quarks and String Glass QED Vacuum QCD Vacuum Quark Potential and String Tension Rotating Strings Entropy of String Configurations Relaxation Time Scales Glass Laws High Energy Nuclear Scattering Conclusions 4/14/2019 VIVEK PARIHAR

Quantum Electrodynamic Vacuum Instability I Static Dielectric Screening of Coulomb’s Law at Short Distance Dynamic Conductivity s(w) of the Dissipative Vacuum 4/14/2019

Quantum Electrodynamic Vacuum Instability II Dissipative Vacuum Conductivity Yields a Landau Vacuum Ghost Instability at a Space-Like Wave Vector K 4/14/2019

Quantum Chromodynamic Vacuum Instability I Vacuum Fluctuations Derek B. Leinweber Dynamic Color Conductivity Re ss(w) < 0 Implies an “Amplifying Vacuum” Since es(Q2) > 0 is always true, there are no Landau QCD ghosts. 4/14/2019

Quantum Chromodynamic Vacuum Instability II Quark Potential Linear Potential and String Tension s Amplifying Vacuum Screening 4/14/2019

Bohr-Landau-Fermi Liquid Droplet Model of Nuclear Matter Spherical Droplet Radius Nucleons are in reality relativistic constituents of nuclei. The non-relativistic “shell model” must thereby be “patched up” by a strong LS- coupling for “simulating relativity”. Fermi Velocity R 4/14/2019

Quark-Anti-Quark Pairs Color Electric Flux Tube Quark-String Model I Quark Baryon Number A=3(Nu+Nd) Charge Z=(2Nu+Nd) N=(2Nd+Nu) Mesons Quark-Anti-Quark Pairs Color Electric Flux Tube “String” s = gEcolor Anti-Quark A=Z+N 4/14/2019

Quantum String “Trajectory” Experimental Tension s Quark-String Model II Rotating String c -R R -c Quantum String “Trajectory” Experimental Tension s 4/14/2019

Quark-String Model III Rotating and Vibrating Strings (Mesons) Entropy S(E) = kB ln W(N) Hardy-Ramanujan Formula 4/14/2019

Entropy of Rotating and Vibrating Strings Quark-String Model IV Entropy of Rotating and Vibrating Strings 4/14/2019

Quark-String Model V F = (7/2)kBTH Relaxation Times Obey the Glass Law 4/14/2019

String Fragmentation Model for Quark Pairs on Strings Quark-String Model VI m String Fragmentation Model for Quark Pairs on Strings m s m s m s m m 4/14/2019

High Energy Scattering I 4/14/2019

High Energy Scattering II Impact Parameter Representation b=l/k Inelastic Scattering Dominates Elastic Scattering as E Becomes Very Large and sel << sin 4/14/2019

High Energy Scattering III 4/14/2019

High Energy Scattering IV Nuclear Target String State Final Fragments with Constant Heat Capacity C 4/14/2019

Conclusion and Discussion QED Vacuum has been Compared with QCD Vacuum QCD Inspired “String Model” Glass-Like Entropy of String Configurations High Energy Nuclear Scattering Cross Sections 4/14/2019

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