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arXiv · 1910.09369

Flowing with the Temporal Renormalisation Group

Lukas Corell·Anton K. Cyrol·Markus Heller·Jan M. Pawlowski
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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.

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Lukas Corell, Anton K. Cyrol, Markus Heller, Jan M. Pawlowski. 2019-10-18. Flowing with the Temporal Renormalisation Group. https://doi.org/10.1103/physrevd.104.025005

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