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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Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
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