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arxiv: hep-th/9210102 · v1 · pith:R54IDHDHnew · submitted 1992-10-19 · ✦ hep-th · cond-mat· hep-lat

On the Two-Point Correlation Function in Dynamical Scaling and SCHR\"Odinger Invariance

classification ✦ hep-th cond-mathep-lat
keywords dynamicalinvarianceodingerschrcorrelationfunctiongroupscaling
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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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