Schrödinger-invariance in non-equilibrium critical dynamics

Abstract

The scaling functions of single-time and two-time correlators in systems undergoing non-equilibrium critical dynamics with dynamical exponent $z=2$ are predicted from a new time-dependent non-equilibrium representation of the Schrödinger algebra. These explicit predictions are tested and confirmed in the ageing of several exactly solvable models.

17 pages, 3 figures. Conference proceedings LT-16, based on arXiv:2504.16857, arXiv:2505.22301, arXiv:2509.11654. Improves by more long list of models (minor amendment)