Non-perturbative fixed point in a non-equilibrium phase transition

TL;DR

This paper demonstrates the existence of a non-perturbative fixed point in out-of-equilibrium phase transitions using the renormalization group method, revealing critical behavior beyond perturbative analysis.

Contribution

The study introduces a non-perturbative renormalization group approach to identify a genuine fixed point in non-equilibrium phase transitions, expanding understanding beyond perturbative methods.

Findings

Existence of a non-perturbative fixed point in out-of-equilibrium phase transitions

Critical point is non-Gaussian in all dimensions

Method applicable to generalized voter class transitions

Abstract

We apply the non-perturbative renormalization group method to a class of out-of-equilibrium phase transitions (usually called ``parity conserving'' or, more properly, ``generalized voter'' class) which is out of the reach of perturbative approaches. We show the existence of a genuinely non-perturbative fixed point, i.e. a critical point which does not seem to be Gaussian in any dimension.