Local scale invariance, conformal invariance and dynamical scaling

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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

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