Correlators in phase-ordering from Schrödinger-invariance
arXiv:2508.08963 · doi:10.1016/j.nuclphysb.2025.117151
Abstract
Systems undergoing phase-ordering kinetics after a quench into the ordered phase with from a fully disordered initial state and with a non-conserved order-parameter have the dynamical exponent . The long-time behaviour of their single-time and two-time correlators, determined by the noisy initial conditions, is derived from Schrödinger-invariance and we show that the generic ageing scaling forms of the correlators follow from the Schrödinger covariance of the four-point response functions. The autocorrelation exponent is related to the passage exponent which describes the time-scale for the cross-over into the ageing regime. Both Porod's law and the bounds are reproduced in a simple way. The dynamical scaling in fully finite systems and of global correlators is found and the low-temperature generalisation of the Janssen-Schaub-Schmittmann scaling relation is derived.
arXiv commentLatex2e, 1+33 pages, 1 figure included, final version
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