Spectral, statistical, and vertex functions in scalar quantum field theory far from equilibrium

We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3 + 1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators and the four-vertex in a self-similar regime in time and...

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Hauptverfasser: Shen, Linda (VerfasserIn) , Berges, Jürgen (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 6 March 2020
In: Physical review
Year: 2020, Jahrgang: 101, Heft: 5, Pages: 056009
ISSN:2470-0029
DOI:10.1103/PhysRevD.101.056009
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.101.056009
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Verfasserangaben:Linda Shen, Jürgen Berges
Beschreibung
Zusammenfassung:We compute the far-from-equilibrium dynamics of relativistic scalar quantum fields in 3 + 1 space-time dimensions starting from over-occupied initial conditions. We determine universal scaling exponents and functions for two-point correlators and the four-vertex in a self-similar regime in time and space or momenta. The scaling form of the momentum-dependent four-vertex exhibits a dramatic fall-off toward low momenta. Comparing spectral functions (commutators) and statistical correlations (anticommutators) of field operators allows us to detect strong violations of the fluctuation-dissipation relation in this nonperturbative infrared regime. Based on a self-consistent expansion in the number of field components to next-to-leading order, a wide range of interaction strengths is analyzed and compared to weak-coupling estimates in effective kinetic theory and classical-statistical field theory.
Beschreibung:Gesehen am 01.04.2020
Beschreibung:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.101.056009