For hierarchical integer-valued Gaussian and Coulomb gas fields, the covariance and fractional-charge exponents are computed sharp asymptotically up to and slightly beyond the BKT critical point, including explicit iterated-logarithmic corrections at criticality.
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Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models
For hierarchical integer-valued Gaussian and Coulomb gas fields, the covariance and fractional-charge exponents are computed sharp asymptotically up to and slightly beyond the BKT critical point, including explicit iterated-logarithmic corrections at criticality.