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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| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
6 July 2021
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| 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 |
| Author Notes: | Lukas Corell, Anton K. Cyrol, Markus Heller, and Jan M. Pawlowski |
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| 520 | |a 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. | ||
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