Flowing with the temporal renormalization group

We discuss the far-from-equilibrium evolution of ϕ3 theory in 1+1 dimensions with the temporal functional renormalization group. In particular, we show that this manifestly causal approach leads to novel one-loop exact equations for fully dressed correlation functions. Within this setup, we numerica...

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Bibliographic Details
Main Authors: Corell, Lukas (Author) , Cyrol, Anton Konrad (Author) , Heller, Markus (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal)
Language:English
Published: 6 July 2021
In: Physical review
Year: 2021, Volume: 104, Issue: 2, Pages: 1-16
ISSN:2470-0029
DOI:10.1103/PhysRevD.104.025005
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.104.025005
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.104.025005
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Author Notes:Lukas Corell, Anton K. Cyrol, Markus Heller, and Jan M. Pawlowski
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Summary:We discuss the far-from-equilibrium evolution of ϕ3 theory in 1+1 dimensions with the temporal functional renormalization group. In particular, we show that this manifestly causal approach leads to novel one-loop exact equations for fully dressed correlation functions. Within this setup, we numerically compute the dynamical propagator. Its behavior suggests self-similarity far from equilibrium in a restricted momentum regime. We discuss the scaling exponents for our solution, as well as the numerical satisfaction of energy and particle number conservation. We also derive a simple exact representation of the expectation value of the energy-momentum tensor solely in terms of the propagator.
Item Description:Gesehen am 16.08.2021
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.104.025005