On non-local representations of the ageing algebra in $d\ge 1$ dimensions

Abstract

Non-local representations of the ageing algebra for generic dynamical exponents $z$ and for any space dimension $d\ge 1$ are constructed. The mechanism for the closure of the Lie algebra is explained. The Lie algebra generators contain higher-order differential operators or the Riesz fractional derivative. Co-variant two-time response functions are derived. An application to phase-separation in the conserved spherical model is described.

10 pages. arXiv admin note: text overlap with arXiv:1212.6156

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