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This study explores dynamic time scales in colored glass nuclear matter, including the hadronic phase, freeze-out, and hydrodynamic expansion. It also investigates the properties of vacuum instabilities, quark-string models, and high-energy nuclear scattering.
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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
hadronic phase and freeze-out QGP and hydrodynamic expansion initial state pre-equilibrium hadronization 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 VIVEK PARIHAR
Quantum Electrodynamic Vacuum Instability I Static Dielectric Screening of Coulomb’s Law at Short Distance Dynamic Conductivitys(w)of the Dissipative Vacuum
Quantum Electrodynamic Vacuum Instability II Dissipative Vacuum Conductivity Yields a Landau Vacuum Ghost Instability at a Space-Like Wave Vector K
Quantum Chromodynamic Vacuum Instability I Vacuum FluctuationsDerek B. Leinweber Dynamic Color ConductivityRe ss(w) < 0Implies an “Amplifying Vacuum” Sincees(Q2)> 0is always true, there areno Landau QCD ghosts.
Quantum Chromodynamic Vacuum Instability II Quark Potential Linear Potential and String Tension s Amplifying Vacuum Screening
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
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
Quark-String Model II Rotating String c -R R -c Quantum String “Trajectory” Experimental Tension s
Quark-String Model III Rotating and Vibrating Strings (Mesons) Entropy S(E) = kB ln W(N) Hardy-Ramanujan Formula
Quark-String Model IV Entropy of Rotating and Vibrating Strings
Quark-String Model V Relaxation Times Obey the Glass Law F = (7/2)kBTH
Quark-String Model VI m String Fragmentation Model for Quark Pairs on Strings m s m s m s m m
High Energy Scattering II Impact Parameter Representation b=l/k Inelastic Scattering Dominates Elastic Scattering as E Becomes Very Large and sel << sin
High Energy Scattering IV Nuclear Target String State Final Fragments with Constant Heat Capacity C
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