Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models

DOI10.1016/S0550-3213(01)00065-7zbMath0997.81073arXivhep-lat/0011043OpenAlexW1979627275WikidataQ56893286 ScholiaQ56893286MaRDI QIDQ5935226

Alan D. Sokal, Andrei O. Starinets

Publication date: 20 June 2001

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

Full work available at URL: https://arxiv.org/abs/hep-lat/0011043

zbMATH Keywords

phase transitionsphase diagramslattice sigma models

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on lattices (81T25)

Related Items (10)

Phase transitions in one dimension and less ⋮ Liquid-gas and other unusual thermal phase transitions in some large-\(N\) magnets ⋮ Critical points in the CP ^N−1 model ⋮ Two-dimensional Heisenberg model with nonlinear interactions: \(1/N\) corrections ⋮ Large-N behavior of three-dimensional lattice CP ^N−1 models ⋮ The bundle Laplacian on discrete tori ⋮ Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori ⋮ On the mean-field spherical model ⋮ Critical points in the RP ^N−1 model ⋮ Provable first-order transitions for nonlinear vector and gauge models with continuous sym\-metries

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