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Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory

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We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions repr...

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Hauptverfasser: Mikheev, Aleksandr N. (VerfasserIn) , Mazeliauskas, Aleksas (VerfasserIn) , Berges, Jürgen (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 29 Jun 2022
In: Arxiv
Year: 2022, Pages: 1-9
DOI:10.48550/arXiv.2203.02299
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2203.02299
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2203.02299
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Verfasserangaben:Aleksandr N. Mikheev, Aleksas Mazeliauskas, and Jürgen Berges

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520 |a We use the Hamiltonian formulation of kinetic theory to perform a stability analysis of non-thermal fixed points in a non-Abelian plasma. We construct a perturbative expansion of the Fokker-Planck collision kernel in an adiabatic approximation and show that the (next-to-)leading order solutions reproduce the known non-thermal fixed point scaling exponents. Working at next-to-leading order, we derive the stability equations for scaling exponents and find the relaxation rate to the non-thermal fixed point. This approach provides the basis for an understanding of the prescaling phenomena observed in QCD kinetic theory and non-relativistic Bose gas systems. 
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