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Local scale-invariances in the bosonic contact and pair-contact processes

Florian Baumann·Stoimen Stoimenov·Malte Henkel
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Abstract

Local scale-invariance for ageing systems without detailed balance is tested through studying the dynamical symmetries of the critical bosonic contact process and the critical bosonic pair-contact process.Their field-theoretical actions can be split into a Schrödinger-invariant term and a pure noise term. It is shown that the two-time response and correlation functions are reducible to certain multipoint response functions which depend only on the Schrödinger-invariant part of the action. For the bosonic contact process, the representation of the Schrödinger group can be derived from the free diffusion equation, whereas for the bosonic pair-contact process, a new representation of the Schrödinger group related to a non-linear Schrödinger equation with dimensionful couplings is constructed. The resulting predictions of local scale-invariance for the two-time responses and correlators are completely consistent with the exactly-known results in both models.

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Florian Baumann, Stoimen Stoimenov, Malte Henkel. 2006-03-02. Local scale-invariances in the bosonic contact and pair-contact processes. https://doi.org/10.1088/0305-4470%2F39%2F16%2F001

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