On the Two-Point Correlation Function in Dynamical Scaling and SCHRÖdinger Invariance

preprint1992arXivOpen access

Abstract

The extension of dynamical scaling to local, space-time dependent rescaling factors is investigated. For a dynamical exponent z=2z=2, the corresponding invariance group is the Schrödinger group. Schrödinger invariance is shown to determine completely the two-point correlation function. The result is checked in two exactly solvable models.

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