Coupling of hard dimers to dynamical lattices via random tensors

DOI10.1088/1742-5468/2012/09/P09009zbMath1456.82095arXiv1204.3798OpenAlexW3101578830MaRDI QIDQ3301381

Harold Erbin, Valentin Bonzom

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3798

Mathematics Subject Classification ID

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 (13)

Revisiting random tensor models at large \(N\) via the Schwinger-Dyson equations ⋮ New \(1/N\) expansions in random tensor models ⋮ Invitation to random tensors ⋮ The phase diagram of the multi-matrix model with \textit{ABAB} interaction from functional renormalization ⋮ Melonic phase transition in group field theory ⋮ Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps ⋮ Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions ⋮ Melons are branched polymers ⋮ Towards a double scaling limit for tensor models: probing sub-dominant orders ⋮ Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions ⋮ The \(1/N\) expansion of tensor models beyond perturbation theory ⋮ Double scaling in tensor models with a quartic interaction ⋮ \((D+1)\)-colored graphs -- a review of sundry properties

Cites Work

• The \(1/N\) expansion of colored tensor models
• A generalization of the Virasoro algebra to arbitrary dimensions
• Critical behavior of colored tensor models in the large \(N\) limit
• Phase transition in dually weighted colored tensor models
• TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
• THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
• Critical and tricritical hard objects on bicolourable random lattices: exact solutions
• Tensor models and simplicial quantum gravity in \(>2\)-D

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