Local scale invariance and its applications to strongly anisotropic critical phenomena

Malte Henkel; Alan Picone; Michel Pleimling; Jeremie Unterberger

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Local scale invariance and its applications to strongly anisotropic critical phenomena

Malte Henkel·Alan Picone·Michel Pleimling·Jeremie Unterberger

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Abstract

The generalization of dynamical scaling to local scale invariance is reviewed. Starting from a recapitulation of the phenomenology of ageing phenomena, the generalization of dynamical scaling to local scale transformation for any given dynamical exponent $z$ is described and the two distinct types of local scale invariance are presented. The special case $z=2$ and the associated Ward identity of Schrödinger invariance is treated. Local scale invariance predicts the form of the two-point functions. Existing confirmations of these predictions for (I) the Lifshitz points in spin systems with competing interactions such as the ANNNI model and (II) non-equilibrium ageing phenomena as occur in the kinetic Ising model with Glauber dynamics are described.

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cond-mat.stat-mech cond-mat.dis-nn cond-mat.soft hep-th math-ph math.MP

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Malte Henkel, Alan Picone, Michel Pleimling, Jeremie Unterberger. 2003-07-25. Local scale invariance and its applications to strongly anisotropic critical phenomena. https://arxiv.org/abs/cond-mat/0307649

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