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• W3114969058 abstract "In this paper, we provide new proofs of the existence and the condensation of Bethe roots for the Bethe Ansatz equation associated with the six-vertex model with periodic boundary conditions and an arbitrary density of up arrows (per line) in the regime Δ<1 . As an application, we provide a short, fully rigorous computation of the free energy of the six-vertex model on the torus, as well as an asymptotic expansion of the six-vertex partition functions when the density of up arrows approaches 1/2. This latter result is at the base of a number of recent results, in particular the rigorous proof of continuity/discontinuity of the phase transition of the random-cluster model, the localization/delocalization behaviour of the six-vertex height function when a=b=1 and c≥1 , and the rotational invariance of the six-vertex model and the Fortuin-Kasteleyn percolation." @default.
• W3114969058 created "2021-01-05" @default.
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• W3114969058 date "2022-09-06" @default.
• W3114969058 modified "2023-09-27" @default.
• W3114969058 title "On the Six-Vertex Model’s Free Energy" @default.
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• W3114969058 doi "https://doi.org/10.1007/s00220-022-04459-x" @default.
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