Line operators, vortex statistics, and Higgs versus confinement dynamics

Fuente: arXiv
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Auteurs principaux: Cherman, Aleksey, Jacobson, Theodore, Sen, Srimoyee, Yaffe, Laurence G.
Format: Preprint
Publié: 2024
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author Cherman, Aleksey
Jacobson, Theodore
Sen, Srimoyee
Yaffe, Laurence G.
author_facet Cherman, Aleksey
Jacobson, Theodore
Sen, Srimoyee
Yaffe, Laurence G.
contents We study a $2{+}1$D lattice gauge theory with fundamental representation scalar fields which has both Higgs and confining regimes with a spontaneously-broken $U(1)$ $0$-form symmetry. We show that the Higgs and confining regimes may be distinguished by a natural gauge invariant observable: the phase $Ω$ of a correlation function of a vortex line operator linking with an electric Wilson line. We employ dualities and strong coupling expansions to analytically explore parameter regimes which were inaccessible in previous continuum calculations, and discuss possible implications for the phase diagram.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17489
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Line operators, vortex statistics, and Higgs versus confinement dynamics
Cherman, Aleksey
Jacobson, Theodore
Sen, Srimoyee
Yaffe, Laurence G.
High Energy Physics - Theory
High Energy Physics - Lattice
We study a $2{+}1$D lattice gauge theory with fundamental representation scalar fields which has both Higgs and confining regimes with a spontaneously-broken $U(1)$ $0$-form symmetry. We show that the Higgs and confining regimes may be distinguished by a natural gauge invariant observable: the phase $Ω$ of a correlation function of a vortex line operator linking with an electric Wilson line. We employ dualities and strong coupling expansions to analytically explore parameter regimes which were inaccessible in previous continuum calculations, and discuss possible implications for the phase diagram.
title Line operators, vortex statistics, and Higgs versus confinement dynamics
topic High Energy Physics - Theory
High Energy Physics - Lattice
url https://arxiv.org/abs/2401.17489