On non-local representations of the ageing algebra in d≥ 1 dimensions
Abstract
Non-local representations of the ageing algebra for generic dynamical exponents z and for any space dimension d≥ 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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