The \(O(n)\) model on the annulus

DOI10.1007/s10955-006-9186-8zbMath1113.82012arXivmath-ph/0604043OpenAlexW3104708539MaRDI QIDQ863508

John L. Cardy

Publication date: 26 January 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0604043

zbMATH Keywords

conformal field theorypercolationself-avoiding walks2D critical behaviorCoulomb gas methodsscaling limit of the partition

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (12)

The elastic and directed percolation backbone ⋮ Associative-algebraic approach to logarithmic conformal field theories ⋮ Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ Restricting SLE(8/3) to an annulus ⋮ Two-dimensional \(O(n)\) models and logarithmic CFTs ⋮ A simple construction of Werner measure from chordal \(\mathrm{SLE}_{8/3}\) ⋮ Conformal boundary conditions in the critical \({\mathcal O}(n)\) model and dilute loop models ⋮ Conformal boundary loop models ⋮ Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations ⋮ Asymptotic probabilities for conformal restriction measures for an annulus ⋮ SLE on doubly-connected domains and the winding of loop-erased random walks ⋮ Conformal Field Theory Applied to Loop Models

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Critical percolation in annuli and SLE\(_6\)
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• Logarithmic torus amplitudes
• Crossing formulae for critical percolation in an annulus
• Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
• Linking Numbers for Self-Avoiding Loops and Percolation: Application to the Spin Quantum Hall Transition
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions

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