Emergent 1-form symmetries
Abstract
We explore the necessary conditions for 1-form symmetries to emerge in the long-distance limit when they are explicitly broken at short distances. A minimal requirement is that there exist operators which become topological at long distances and that these operators have non-trivial correlation functions. These criteria are obeyed when the would-be emergent symmetry is spontaneously broken, or is involved in 't Hooft anomalies. On the other hand, confinement, i.e. a phase with unbroken 1-form symmetry, is nearly incompatible with the emergence of 1-form symmetries. We comment on some implications of our results for QCD as well as the idea of Higgs-confinement continuity.
Cite
@article{arxiv.2304.13751,
title = {Emergent 1-form symmetries},
author = {Aleksey Cherman and Theodore Jacobson},
journal= {arXiv preprint arXiv:2304.13751},
year = {2024}
}
Comments
10 pages, 3 figures. v2: Clarified discussion of anomalies and emergent symmetry