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Advances in High Energy Physics
Volume 2019, Article ID 9450367, 9 pages
https://doi.org/10.1155/2019/9450367
Research Article

The (De)confinement Transition in Tachyonic Matter at Finite Temperature

1Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, Brazil
2Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil

Correspondence should be addressed to Francisco A. Brito; rb.ude.gcfu.fd@otirbaf

Received 14 December 2018; Accepted 10 February 2019; Published 27 February 2019

Guest Editor: Rafel Escribano

Copyright © 2019 Adamu Issifu and Francisco A. Brito. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We present a QCD motivated model that mimics QCD theory. We examine the characteristics of the gauge field coupled with the color dielectric function () in the presence of temperature (). The aim is to achieve confinement at low temperatures , ( is the critical temperature), similar to what occurs among quarks and gluons in hadrons at low energies. Also, we investigate scalar glueballs and QCD string tension and effect of temperature on them. To achieve this, we use the phenomenon of color dielectric function in gauge fields in a slowly varying tachyon medium. This method is suitable for analytically computing the resulting potential, glueball masses, and the string tension associated with the confinement at a finite temperature. We demonstrate that the color dielectric function changes Maxwell’s equation as a function of the tachyon fields and induces the electric field in a way that brings about confinement during the tachyon condensation below the critical temperature.