Measurement phases in the critical Ising model exhibit an enlarged replica symmetry, analogous to the Nishimori phenomenon, that exactly determines the Edwards-Anderson correlator exponent in 2D and near six dimensions.
Statisti- cal reconstruction of the gaussian free field and kt transition
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The paper establishes a dichotomy for height functions at the BKT transition: localization yields exponential covariance decay while delocalization forces at least logarithmic variance growth with a universal positive gap in effective temperature, and the delocalized regime is closed including the B
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Bayesian phase transition for the critical Ising model: Enlarged replica symmetry in the epsilon expansion and in 2D
Measurement phases in the critical Ising model exhibit an enlarged replica symmetry, analogous to the Nishimori phenomenon, that exactly determines the Edwards-Anderson correlator exponent in 2D and near six dimensions.
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A dichotomy theory for the height functions of the BKT transition
The paper establishes a dichotomy for height functions at the BKT transition: localization yields exponential covariance decay while delocalization forces at least logarithmic variance growth with a universal positive gap in effective temperature, and the delocalized regime is closed including the B