Flowing with the temporal renormalisation group

• Verfasst von: Corell, Lukas [VerfasserIn]
• Verfasst von: Heller, Markus [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Titel: Flowing with the temporal renormalisation group
• Verf.angabe: Lukas Corell, Anton K. Cyrol, Markus Heller, and Jan M. Pawlowski
• E-Jahr: 2019
• Jahr: 18 Oct 2019
• Umfang: 15 S.
• Fussnoten: Gesehen am 19.02.2020
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019) Artikel-Nummer 1910.09369, 15 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Condensed Matter - Other Condensed Matter
• Sach-SW: Condensed Matter - Statistical Mechanics
• Sach-SW: High Energy Physics - Phenomenology
• Sach-SW: High Energy Physics - Theory
• K10plus-PPN: 1690335823

Abstract

We discuss the far-from-equilibrium evolution of $\phi^3$-theory in $1+1$ dimensions with the temporal functional renormalisation group \cite{Gasenzer:2007za, Gasenzer:2010rq}. 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 behaviour 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.