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We calculated hydrodynamic relaxation times for hot Quantum Chromodynamics (QCD) using kinetic theory. Our findings show transport coefficients are near theoretical bounds, unlike strongly coupled theories.

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Area of Science:

  • High-energy physics
  • Quantum chromodynamics (QCD)
  • Kinetic theory

Background:

  • Understanding the behavior of hot, dense matter is crucial for heavy-ion collisions.
  • Hydrodynamic descriptions are essential for modeling the early stages of such collisions.
  • Kinetic theory provides a framework for calculating transport coefficients in these systems.

Purpose of the Study:

  • To compute hydrodynamic relaxation times (τπ and τj) for hot QCD.
  • To investigate bounds on ratios of transport coefficients.
  • To compare QCD results with strongly coupled theories and holographic duals.

Main Methods:

  • Utilized kinetic theory to calculate transport coefficients.
  • Performed calculations at next-to-leading order in the coupling constant.
  • Analyzed dimensionless ratios of second-order to first-order transport coefficients.

Main Results:

  • Computed hydrodynamic relaxation times for hot QCD at next-to-leading order.
  • Demonstrated that computed transport coefficient ratios are near theoretical bounds.
  • Observed that strongly coupled theories with holographic duals significantly violate these bounds.

Conclusions:

  • The kinetic theory description of hot QCD yields transport coefficients close to theoretical limits.
  • Strongly coupled theories exhibit behavior distant from a quasiparticle description, unlike hot QCD.
  • These findings refine our understanding of matter under extreme conditions.