Confinement and screening in tachyonic matter

TL;DR

This paper investigates how tachyonic matter influences electric field confinement and screening, revealing conditions under which it mimics gluon confinement and Coulomb-like behavior through dielectric modifications.

Contribution

It demonstrates that tachyon matter's dielectric properties can induce confinement and screening effects similar to those in quantum chromodynamics.

Findings

Tachyon matter's dielectric function modifies Maxwell's equations.

Confinement occurs during tachyon condensation.

Coulomb-like potential appears at large distances.

Abstract

In this paper we consider confinement and screening of the electric field. We study the behavior of a static electric field coupled to a dielectric function with the intent of obtaining an electrical confinement similar to what happens with the field of gluons that bind quarks in hadronic matter. For this we use the phenomenon of `anti-screening' in a medium with exotic dielectric. We show that tachyon matter behaves like an exotic way whose associated dielectric function modifies the Maxwell's equations and affects the fields which results in confining and Coulombian-like potentials in three spatial dimensions. We note that the confining regime coincides with the tachyon condensation, which resembles the effect of confinement due to condensation of magnetic monopoles. The Coulombian-like regime is developed at large distance which is associated with {a screening phase