# Flowing with the temporal renormalization group

@article{Corell2021FlowingWT, title={Flowing with the temporal renormalization group}, author={Lukas Corell and Anton K. Cyrol and Marc Andre Heller and Jan M. Pawlowski}, journal={Physical Review D}, year={2021} }

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…

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## References

SHOWING 1-10 OF 49 REFERENCES

AIP Conference Proceedings

- Physics
- 2008

Photoluminescence kinetics in InAs quantum dots in indirect-gap AlGaAs matrixes has been studied. It has been found that the duration of the photoluminescence decay at low temperatures greatly…

Phys

- Lett. B670, 135
- 2008

Expectation Value Formalism in Quantum Field Theory. II

- Physics
- 1963

A formalism has been developed to evaluate the expectation values of projection operators directly. The formalism is applied to the production of particles when the corresponding quantized fields are…

Brownian Motion of a Quantum Oscillator

- Physics
- 1961

An action principle technique for the direct computation of expectation values is described and illustrated in detail by a special physical example, the effect on an oscillator of another physical…

Towards far-from-equilibrium quantum field dynamics: A functional renormalisation-group approach

- Physics
- 2008

Introduction to Nonequilibrium Quantum Field Theory

- Physics
- 2004

There has been substantial progress in recent years in the quantitative understanding of the nonequilibrium time evolution of quantum fields. Important topical applications, in particular in high…

Stationary, isotropic and homogeneous two-dimensional turbulence: a first non-perturbative renormalization group approach

- Physics, MathematicsJournal of Physics A: Mathematical and Theoretical
- 2019

We study the statistical properties of stationary, isotropic and homogeneous turbulence in two-dimensional (2D) flows, focusing on the direct cascade, that is on large wave-numbers compared to the…

Breaking of scale invariance in the time dependence of correlation functions in isotropic and homogeneous turbulence

- Physics, Mathematics
- 2017

In this paper, we present theoretical results on the statistical properties of stationary, homogeneous and isotropic turbulence in incompressible flows in three dimensions. Within the framework of…