An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
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cond-mat.stat-mech 2years
2026 2verdicts
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Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,
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Exact solution of three-point functions in critical loop models
An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
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Energy-Weighted Site Percolation in Two Dimensions
Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,