Equal-time approach to real-time dynamics of quantum fields

We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting N-component fields. Our results provide the link between state-of-the-art measurement...

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Hauptverfasser: Ott, Robert (VerfasserIn) , Zache, Torsten Victor (VerfasserIn) , Berges, Jürgen (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 01-02-2023
In: SciPost physics
Year: 2023, Jahrgang: 14, Heft: 2, Pages: 1-29
ISSN:2542-4653
DOI:10.21468/SciPostPhys.14.2.011
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.21468/SciPostPhys.14.2.011
Verlag, lizenzpflichtig, Volltext: https://scipost.org/10.21468/SciPostPhys.14.2.011
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Verfasserangaben:Robert Ott, Torsten V. Zache and Jürgen Berges

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520 |a We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting N-component fields. Our results provide the link between state-of-the-art measurements of equal-time effective actions using quantum simulator platforms, as employed in [Phys. Rev. X 10, 011020 (2020); Nat. Phys. 16, 1012 (2020)], and observables underlying effective kinetic or hydrodynamic descriptions. New non-perturbative approximation schemes can be developed and certified this way, where the a priori time-local formulation of the equal-time effective action has crucial advantages over the conventional closed-time-path approach which is non-local in time. 
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