Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.
Conformal loop ensembles: the Markovian characterization and the loop-soup construction.Annals of Mathematics, 176(3):1827–1917,
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Renormalised two-point functions of CLE$_4$ gaskets
Renormalized two-point functions for CLE4 gaskets are computed probabilistically via loop soups and GFF, corresponding to Ashkin-Teller spin correlations and recovering Ising at the decoupling point.