Flowing with the temporal renormalization group

• Verfasst von: Corell, Lukas [VerfasserIn]
• Verfasst von: Cyrol, Anton Konrad [VerfasserIn]
• Verfasst von: Heller, Markus [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Titel: Flowing with the temporal renormalization group
• Verf.angabe: Lukas Corell, Anton K. Cyrol, Markus Heller, and Jan M. Pawlowski
• E-Jahr: 2021
• Jahr: 6 July 2021
• Umfang: 16 S.
• Fussnoten: Gesehen am 16.08.2021
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2021
• Band/Heft Quelle: 104(2021), 2, Artikel-ID 025005, Seite 1-16
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.104.025005
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1767091648

Abstract

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.