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Using operator covariance to disentangle scaling dimensions in lattice models

Using operator covariance to disentangle scaling dimensions in lattice models

In critical lattice models, distance ($r$) dependent correlation functions contain power laws $r^{-2\Delta}$ governed by scaling dimensions $\Delta$ of an underlying continuum field theory. In Monte Carlo simulations and other numerical approaches, the leading dimensions can be extracted by data fitting, which can be difficult when two or more powers …