Chaotic behavior in classical Yang-Mills dynamics

Abstract

Understanding the underlying mechanisms causing rapid thermalization deduced for high-energy heavy ion collisions is still a challenge. To estimate the thermalization time, entropy growth for classical Yang-Mills theories is studied, based on the determination of Lyapunov exponents. Distinct regimes for short, medium and long sampling times are characterized by different properties of their spectrum of Lyapunov exponents. Clarifying the existence of these regimes and their implications for gauge-field dynamics is one of the results of this contribution. As a phenomenological application we conclude that for pure gauge theories with random initial conditions thermalization occurs within few fm/c, an estimate which can be reduced by the inclusion of fermions, specific initial conditions, etc.

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• Entropy Creation in Relativistic Heavy Ion Collisions
• Instability induced pressure isotropization in a longitudinally expanding system
• Inhomogeneous holographic thermalization
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• Color Glass Condensate and Glasma
• Chaos in chiral condensates in gauge theories
• Non-renormalizability of the classical statistical approximation
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• Out of equilibrium dynamics of coherent non-abelian gauge fields
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• Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory
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• Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d
• Initial state and thermalization in the Color Glass Condensate framework
• Initial State Quantum Fluctuations in the Little Bang
• Towards thermalization in heavy-ion collisions: CGC meets the 2PI formalism
• Chaos of QCD string from holography
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• Some Aspects of the Theory of Heavy Ion Collisions
• Entropy production from chaoticity in Yang-Mills field theory with use of the Husimi function
• Phenomenological implications of asymmetric $Ad{S}_5$ shockwave collision studies for heavy ion physics
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• The early stages of a high energy heavy ion collision
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• Parametric instability of classical Yang-Mills fields in a color magnetic background
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• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations
• Production of Semi Quark Gluon Monopole Plasma by Glasma Decay
• Parametric Instability of Classical Yang-Mills Fields in an Expanding Geometry
• Entropy production and equilibration in Yang-Mills quantum mechanics
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• Holographic Kolmogorov-Sinai entropy and the quantum Lyapunov spectrum
• Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
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• Revisiting the sphaleron and axion production rates in QCD at high temperatures