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Abstract We consider the spatial correlation function of two-dimensional Ising spin glass under out-of-equilibrium conditions. We pay special attention to the scaling limit reached upon approaching zero temperature. The field-theory of a non-interacting field makes a surprisingly good job of describing the spatial shape of the correlation function of the out-of-equilibrium Edwards–Anderson Ising model in two dimensions.
Fernández et al. (2018) studied this question.