Flowing with the Temporal Renormalisation Group

Understand

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.