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
Highlights
Is used, where a and b are positive constants, and r is the distance between the heavy quarks
The action of screening in the QED is expressed according to the effective electrical charge i.e., q (r d) ≤ 1 or G(r d) ≥ 1 and q (r d) > 1 or G(r d) < 1, d being the typical size of the screening produced by the polarization of the molecules
The behavior of the dielectric function G with respect to r can be governed by a scalar field φ(r ) which describes the dynamics of the dielectric medium in tachyon matter
Summary
Is used, where a and b are positive constants, and r is the distance between the heavy quarks. It is already known that as a result of QCD lattice studies it has been shown that the Abelian part of the string tension accounts for 92 % of the confinement part of the static lattice potential It suffices to consider only the Abelian (linear part) of the non-Abelian strength field [4,5]. As we shall see later, this a very natural way to obtain a phenomenological effective field theory for QCD since the aforementioned dielectric function is automatically identified with the tachyon potential. As a consequence, this approach may address the issues of phenomenological aspects of confinement and screening in string theory.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call