Restricted partition functions of the two-dimensional Ising model on a half-infinite cylinder

DOI10.1063/1.3116597zbMath1241.82030OpenAlexW2088737915MaRDI QIDQ3583583

Louis-Pierre Arguin, Yvan Saint-Aubin

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3116597

zbMATH Keywords

conformal field theoryMonte Carlo methodsIsing model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

A formula for crossing probabilities of critical systems inside polygons

Cites Work

• Multiple Schramm-Loewner evolutions and statistical mechanics martingales
• Euler integrals for commuting SLEs
• Logarithmic \(M(2,p)\) minimal models, their logarithmic couplings, and duality
• Non-unitary observables in the 2D critical Ising model
• Universality and conformal invariance for the Ising model in domains with boundary.
• Crossing probabilities on same-spin clusters in the two-dimensional Ising model
• Critical percolation in finite geometries

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