On the Two-Point Correlation Function in Dynamical Scaling and SCHR\"Odinger 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 Schr\"odinger group. Schr\"odinger invariance is shown to determine completely the two-point correlation function. The result is checked in two exactly solvable models.
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