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The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states

By introducing an unconventional realization of the Poincare algebra alt_1 of special relativity as conformal transformations, we show how it may occur as a dynamical symmetry algebra for ageing systems in non-equilibrium statistical physics and give some applications, such as the computation of two-time correlators. We also discuss infinite-dimensional extensions of alt_1 in this setting. Finally, we construct canonical Appell systems, coherent states and Leibniz functions for alt_1 as a tool for bosonic quantization.

preprint2012arXivOpen access
Malte HenkelRene SchottStoimen StoimenovJeremie Unterberger
cond-mat.stat-mechmath-phmath.MPnlin.SIhep-th
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Malte HenkelRene SchottStoimen StoimenovJeremie Unterberger

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