Short Range Linear Potential in 3D Lattice Compact QED

TL;DR

This paper investigates the static potential in 3D lattice compact QED at finite temperature, revealing a short-range linear potential caused by magnetic dipoles, transitioning to Coulomb behavior at larger distances.

Contribution

It demonstrates the existence of a short-range linear potential in 3D lattice compact QED due to magnetic dipoles, providing new insights into the deconfinement phase.

Findings

Short-range linear potential observed at small distances.

Transition to Coulomb potential at larger separations.

Magnetic dipoles as monopole-antimonopole bound states responsible for linear potential.

Abstract

We study the static potential between electric charges in the finite temperature three dimensional compact gauge theory on the lattice. We show that in the deconfinement phase at small separations between the charges the potential contains a linearly rising piece which goes over into the Coulomb potential as the distance between the charges is increased. The linear potential is due to the gas of magnetic dipoles which are realized as monopole-antimonopole bound states.