SCHR\"ODINGER INVARIANCE IN DISCRETE STOCHASTIC SYSTEMS

TL;DR

This paper explores local scale invariance in lattice models through Schrödinger algebra representations, deriving two-point functions that match those in stationary states of simple stochastic models.

Contribution

It introduces new realizations of the Schrödinger algebra to analyze local scale invariance in discrete stochastic systems.

Findings

Two-point functions derived from Schrödinger invariance match stationary state correlations.

New algebraic realizations successfully describe local scale invariance in lattice models.

Results connect symmetry principles with observable stochastic dynamics.

Abstract

Local scale invariance for lattice models is studied using new realizations of the Schr\"odinger algebra. The two-point function is calculated and it turns out that the result can be reproduced from exact two-point correlation functions evaluated in the stationary state of several simple stochastic models.