Ising Model from Intertwiners
General Relativity and Quantum Cosmology
2015-11-24 v3 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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 that a certain generating function of intertwiner contractions leads to the partition function of the 2d Ising model. This implies that the intertwiner model possesses a second order phase transition, thus leading to a continuum limit with propagating degrees of freedom.
Cite
@article{arxiv.1312.5646,
title = {Ising Model from Intertwiners},
author = {Bianca Dittrich and Jeff Hnybida},
journal= {arXiv preprint arXiv:1312.5646},
year = {2015}
}