# The (de)-confinement transition in tachyonic matter at finite temperature

## TL;DR

This paper models the confinement-deconfinement transition in tachyonic matter at finite temperature using a QCD-inspired approach, analyzing how the color dielectric function influences confinement, glueball properties, and string tension.

## Contribution

It introduces a novel analytical framework employing a color dielectric function in a tachyon medium to study confinement phenomena at finite temperature.

## Key findings

- Confinement occurs below the critical temperature due to changes in the dielectric function.
- The model predicts temperature-dependent glueball masses and string tension.
- Electric fields induced by the dielectric function facilitate confinement during tachyon condensation.

## Abstract

In this paper we present a QCD motivated model that mimics QCD theory. We examine the characteristics of the gauge field coupled with the color dielectric function ($G$) in the presence of temperature ($T$). The aim is to achieve confinement at low temperatures $T<T_{c}$, ($T_{c}$, 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.