Abstract

We consider the three dimensional SU(2) Yang-Mills theory with adjoint static color sources, studying by lattice simulations how the shape of the flux tube changes when increasing the distance between them. The disappearance of the flux tube at string breaking is quite abrupt, but precursors of this phenomenon are present already when the separation between the sources is smaller than its critical value, a fact that influences also some details of the static potential.

Highlights

  • Color confinement is one of the main nonperturbative features of non-Abelian gauge theories

  • The study of the two other components of the field strength is important to identify the disappearance of the flux tube: since string breaking happens when the two charges are at a finite distance from each other, we cannot expect the longitudinal chromoelectric field to vanish at string breaking, because the near-field of the charges is always present

  • In this paper we have studied color flux tubes in a theory which displays string breaking, and in particular their behavior when the separation between the static sources approaches the string breaking distance Rc

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Summary

Introduction

Color confinement is one of the main nonperturbative features of non-Abelian gauge theories. The flux tube between two sources has been investigated, for example, to test the predictions of effective string theory [8,9,10,11,12,13] and the dual superconductor picture of color confinement [14,15,16,17,18,19], and the case of more than two charges has been studied [20,21,22,23]. The vast majority of flux tube investigations concentrated on the Yang-Mills pure glue case, with sources transforming in the fundamental representation of the gauge group. In this setup a nonvanishing asymptotic string tension is present, and the static potential rises indefinitely with the distance between the sources; this

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