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Article Dans Une Revue Physical Review Letters Année : 2017

Liouville field theory and log-correlated Random Energy Models

Résumé

An exact mapping is established between the $c\geq25$ Liouville field theory (LFT) and the Gibbs measure statistics of a thermal particle in a 2D Gaussian Free Field plus a logarithmic confining potential. The probability distribution of the position of the minimum of the energy landscape is obtained exactly by combining the conformal bootstrap and one-step replica symmetry breaking methods. Operator product expansions in LFT allow to unveil novel universal behaviours of the log-correlated Random Energy class. High precision numerical tests are given.
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Dates et versions

hal-01491267 , version 1 (28-03-2024)

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Xiangyu Cao, Alberto Rosso, Raoul Santachiara, Pierre Le Doussal. Liouville field theory and log-correlated Random Energy Models. Physical Review Letters, 2017, 118 (9), pp.090601. ⟨10.1103/PhysRevLett.118.090601⟩. ⟨hal-01491267⟩
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