Confinement for all couplings in a ${\mathbb Z}_{2}$ lattice gauge theory
Mathematical Physics
2020-04-22 v3 Statistical Mechanics
High Energy Physics - Lattice
High Energy Physics - Theory
math.MP
Abstract
For a particular lattice gauge theory with gauge invariance there is confinement for all couplings. The gauge fields, on lattice links, lie in the closed interval . It is proved that the expectation value of a gauge-invariant loop operator decays as the exponential of minus the area.
Cite
@article{arxiv.1908.09178,
title = {Confinement for all couplings in a ${\mathbb Z}_{2}$ lattice gauge theory},
author = {Peter Orland},
journal= {arXiv preprint arXiv:1908.09178},
year = {2020}
}
Comments
Now 11 pages, AMSTEX. Small corrections, additional remarks, in particular on relation with lattice Yang-Mills theory. References revised. Published version