Schr\"odinger-invariance in non-equilibrium critical dynamics

TL;DR

This paper predicts and confirms the scaling functions of correlators in non-equilibrium critical systems with dynamical exponent 2, using a new Schrödinger algebra representation, validated through exactly solvable models.

Contribution

It introduces a novel time-dependent Schrödinger algebra framework to predict scaling functions in non-equilibrium critical dynamics with z=2.

Findings

Predicted scaling functions match exactly solvable model results.

Validated the Schrödinger-invariance approach in ageing phenomena.

Confirmed the theoretical predictions through model testing.

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 Schr\"odinger algebra. These explicit predictions are tested and confirmed in the ageing of several exactly solvable models.