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

• Verfasst von: Mikheev, Aleksandr N. [VerfasserIn]
• Verfasst von: Mazeliauskas, Aleksas [VerfasserIn]
• Verfasst von: Berges, Jürgen [VerfasserIn]
• Titel: Stability analysis of non-thermal fixed points in longitudinally expanding kinetic theory
• Verf.angabe: Aleksandr N. Mikheev, Aleksas Mazeliauskas, and Jürgen Berges
• E-Jahr: 2022
• Jahr: 29 Jun 2022
• Umfang: 9 S.
• Fussnoten: Gesehen am 20.09.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2022
• Band/Heft Quelle: (2022), Artikel-ID 2203.02299, Seite 1-9
• DOI: doi:10.48550/arXiv.2203.02299
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Quantum Gases
• Sach-SW: High Energy Physics - Phenomenology
• Sach-SW: Nuclear Theory
• K10plus-PPN: 1808041399

Abstract

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.