Phase structure of the \(O(n)\) model on a random lattice for \(n> 2\)

DOI10.1016/S0550-3213(96)00574-3zbMath0925.82045arXivhep-th/9609008OpenAlexW2005139368MaRDI QIDQ2563824

Bergfinnur Durhuus, Charlotte F. Kristjansen

Publication date: 18 December 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9609008

zbMATH Keywords

partition functioncritical exponentscritical pointsminimal conformal field theoriescoarse grainingrandom triangulation

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) 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 (8)

Spanning forests on random planar lattices ⋮ The two-point function of \(c=-2\) matter coupled to 2D quantum gravity ⋮ An iterative solution of the three-colour problem on a random lattice ⋮ Three-spin strings on \(\mathrm{AdS}_{5}\times S^{5}\) from \(\mathcal N=4\) SYM ⋮ The circular, elliptic three-spin string from the \(\mathrm{SU}(3)\) spin chain ⋮ Enumeration of maps with self-avoiding loops and the \mathcal {O}(\mathfrak {n}) model on random lattices of all topologies ⋮ TheO(n) vector model atn= −1, −2 on random planar lattices: a direct combinatorial derivation ⋮ Hamiltonian cycles on a random three-coordinate lattice

Cites Work

• Non-perturbative solution of matrix models modified by trace-squared terms
• New critical phenomena in \(2\)D quantum gravity
• Planar diagrams
• Exact solution of the \(O(n)\) model on a random lattice
• More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\)
• Multi-spin systems on a randomly triangulated surface.
• Random surfaces, solvable lattice models and discrete quantum gravity in two dimensions

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