Geodesic
Ising model from intertwiners
Annales de l’Institut Henri Poincaré D, Tome 3 (2016) no. 4, pp. 363-380

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Spin networks appear in a number of areas, for instance in lattice gauge theories and in quantum gravity. They describe the contraction of intertwiners according to the underlying network. We show how a certain generating function of intertwiner contractions for arbitrary networks, when restricted to a square lattice is exactly related to the high temperature expansion of the 2d Ising model partition function. This implies that the intertwiner model possesses a second order phase transition, thus leading to a continuum limit with propagating degrees of freedom.

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Publié le :
DOI : 10.4171/aihpd/32
Classification : 82-XX, 83-XX
Keywords: Ising model, spin networks, loop quantum gravity 
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Dittrich, Bianca; Hnybida, Jeff. Ising model from intertwiners. Annales de l’Institut Henri Poincaré D, Tome 3 (2016) no. 4, pp. 363-380. doi: 10.4171/aihpd/32

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