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Local scale invariance, conformal invariance and dynamical scaling

arXiv:cond-mat/0209032

Abstract

Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local free field theories. Physical applications include uniaxial Lifshitz points and ageing in simple ferromagnets.

Latex2e + IOP macros, 4pp, based on talks given at Group24 and TH2002, Paris, July 2002

Local scale invariance, conformal invariance and dynamical scaling · wovepaper