Flowing with the Temporal Renormalisation Group

Autor:	Corell, Lukas, Cyrol, Anton K., Heller, Markus, Pawlowski, Jan M.
Rok vydání:	2019
Předmět:	High Energy Physics - Theory Condensed Matter - Other Condensed Matter Condensed Matter - Statistical Mechanics High Energy Physics - Phenomenology
Zdroj:	Phys. Rev. D 104, 025005 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.104.025005
Popis:	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. Comment: 16 pages, 16 figures. v2: Added comments in Secs. II and III, added refs, corrected typos
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.09369 Zobrazit plný text záznamu View this record from Arxiv