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arXiv · 1402.3338

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

Stoimen Stoimenov·Malte Henkel
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Abstract

Non-local representations of the ageing algebra for generic dynamical exponents $z$ and for any space dimension $d\geq 1$ 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.

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Stoimen Stoimenov, Malte Henkel. 2014-02-13. On non-local representations of the ageing algebra in $d\geq 1$ dimensions. https://doi.org/10.1007/978-4-431-55285-7_40

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