String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model

TL;DR

This paper investigates string breaking in the SU(2) Higgs model, demonstrating it as a level crossing phenomenon through variational analysis of static potentials and confirming scaling properties across lattice spacings.

Contribution

It provides a detailed variational study of string breaking as a mixing phenomenon in the SU(2) Higgs model, with new insights into the level crossing interpretation and scaling behavior.

Findings

String breaking occurs at r_b ~ 1.9r_0.

String breaking is confirmed as a level crossing phenomenon.

Static potentials scale consistently across lattice spacings.

Abstract

We study the potential of a static quark anti-quark pair in the confinement ``phase'' of the SU(2) Higgs model. Around separation r_b, the confining string of the gauge field breaks by formation of a dynamical pair of light quarks. The ground state and first excited state static potentials are determined by a variational technique from a matrix correlation in which suitably smeared gauge and Higgs fields enter. Our results at beta=2.4 clearly show string breaking (r_b ~ 1.9r_0). The investigation of properly defined overlaps confirms the interpretation of string breaking as a level crossing phenomenon between string-type and meson-type states. We study the scaling properties of the static potentials along a line of constant physics, varying the lattice spacing by a factor of 2. Our results show compatibility with scaling within tiny errors.