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

Abstract

The extension of dynamical scaling to local, space-time dependent rescaling factors is investigated. For a dynamical exponent $z=2$, 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.

Comments: Geneva preprint UGVA/DPT 1992/09-783, plain Tex 6pp (to appear in Int. J. Mod. Phys. C)