A Cellular Representation of the Potts Lattice Higgs Model
Probability
2026-02-26 v1 Mathematical Physics
math.MP
Abstract
The -dimensional Potts lattice Higgs model is a random assignment of spins in to the -dimensional cells of a cell complex induced by a Hamiltonian with a Potts interaction on the -cells and an additional term playing the role of an external field. We develop a representation of this model as a pair of dependent plaquette percolations, and prove that Wilson line expectations can be expressed in terms of the probability of a topological event. As an application, we prove the existence of a phase transition for the Marcu--Fredenhagen ratio in the Potts lattice Higgs model on when
Cite
@article{arxiv.2602.22199,
title = {A Cellular Representation of the Potts Lattice Higgs Model},
author = {Summer Eldridge and Malin P. Forsström and Benjamin Schweinhart},
journal= {arXiv preprint arXiv:2602.22199},
year = {2026}
}