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Confinement and String Breaking in the Compact Abelian Higgs Model
Preprint   Open access

Confinement and String Breaking in the Compact Abelian Higgs Model

Blake Senseman, Zane Ozzello, Yannick Meurice and Stephen Mrenna
arXiv
arXiv
07/30/2026
DOI: 10.48550/arxiv.2607.27550
url
https://doi.org/10.48550/arxiv.2607.27550View
Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

While real-time simulation of Quantum Chromodynamics remains technologically out of reach, simplified models for studying elements of QCD phenomenology abound. This work presents a simple model, a spin-1 truncation of the Compact Abelian Higgs Model simulated on qutrit sites, in which confinement and string breaking is accessible to current simulation methods. In the low-energy regime of 1+1D scalar electrodynamics, the heavy modes are integrated out, producing a spin chain effective Hamiltonian in which Gauss' law is implicitly satisfied. We study the spectrum of string-like excitations using DMRG methods on the order of 100 sites. We demonstrate that an added, local chemical potential, playing a role analogous to external charges, permits parameter-dependent measurements of physical features of interest like the string tension and effective meson mass. Varying the chemical potential also permits a characterization of string stability not assessed in prior studies of confining lattice models.
Physics - High Energy Physics - Lattice Physics - Quantum Physics

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