Malin P. Forsström, Jonatan Lenells and Fredrik
Viklund
Vol. 4 (2023), No. 2, 257–329
DOI: 10.2140/pmp.2023.4.257
Abstract
We consider the lattice Higgs model on
in the fixed length limit, with structure group given by
for
.
We compute the expected value of the Wilson loop observable to leading
order when the inverse temperature and hopping parameter are both
sufficiently large compared to the length of the loop. The leading order term is
expressed in terms of a quantity arising from the related but much simpler
model, which reduces to the usual Ising model when
. As
part of the proof, we construct a coupling between the lattice Higgs model and the
model.
Keywords
lattice gauge theory, abelian lattice Higgs model, Wilson
loops