Pseudo-character expansions for \(U(N)\)-invariant spin models on \(CP^{N-1}\)

DOI10.1007/BF01608789zbMath0933.22031arXivhep-lat/9810027MaRDI QIDQ1306602

Andrea Pelissetto, Tereza Mendes, Attilio Cucchieri

Publication date: 29 March 2000

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/9810027

zbMATH Keywords

spin modelsorthogonal functionsClebsch-Gordan coefficients\(6-j\) symbols

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of linear algebraic groups to the sciences (20G45) Relations of PDEs on manifolds with hyperfunctions (58J15)

Cites Work

• The continuum limit of one-dimensional non-linear models
• Continuum limits and exact finite-size-scaling functions for one-dimensional \(O(N)\)-invariant spin models
• Random Hermitian matrices in an external field
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