Disordered \(O(n)\) loop model and coupled conformal field theories

DOI10.1016/j.nuclphysb.2009.05.013zbMath1196.82090arXiv0903.3787OpenAlexW2041435994MaRDI QIDQ1960064

Hirohiko Shimada

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3787

zbMATH Keywords

renormalization groupreplica methodconformal perturbation theorydisordered systemscaling dimensioncomplex Selberg integral

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Renormalization group methods applied to problems in quantum field theory (81T17) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (5)

Disorder in large-\(N\) theories ⋮ Exact results for the O(\(N\)) model with quenched disorder ⋮ The random-bond Ising model in 2.01 and 3 dimensions ⋮ Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap ⋮ Critical lines in the pure and disordered O(N) model

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