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 (G) in the presence of temperature (T). The aim is to achieve confinement at low temperatures T<Tc, (Tc 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.
Highlights
Quantum chromodynamics (QCD) is a theory that attempts to explain the strong interactions carried by gluons that keep quarks and gluons in a confined state in hadrons
We used the Abelian QED theory to approximate the non-Abelian QCD theory. We do this by employing a phenomenological effective field theory involving tachyon field dynamics coupled to electromagnetism via color dielectric function
The color dielectric function is responsible for the long distance interactions to bring about confinement in the infrared (IR) regime
Summary
Quantum chromodynamics (QCD) is a theory that attempts to explain the strong interactions carried by gluons that keep quarks and gluons in a confined state in hadrons. The motivation for using this approach is twofold, firstly, because we are able to study QCD phenomenologically by identifying the color dielectric function naturally with the tachyon potential; secondly, one can apply such phenomenological approach to obtain models that mimic QCD in stringy models where temperature effects in tachyon potentials [30] can be considered in brane confinement scenarios [31] In this case, it may bring new insight into confining supersymmetric gauge theories such as the Seiberg-Witten theory [32,33,34] that deals with electric-magnetic duality and develops magnetic monopole condensation. We study glueball masses at zero temperature (T = 0) and at a finite temperature (T) and analyze their characteristics In the latter cases we find analytically the net potential for confinement of quarks and gluons as a function of temperature.
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