# Confinement of fermions in tachyon matter

## TL;DR

This paper introduces a phenomenological QCD-inspired model using gauge theory in a color dielectric medium to simulate confinement, calculate glueballs, and analyze the QCD vacuum, linking tachyon condensation to confinement mechanisms.

## Contribution

It develops a novel phenomenological model that mimics QCD confinement, calculates glueball spectra, and explores the relationship between tachyon condensation and confinement mechanisms.

## Key findings

- Successful calculation of scalar and vector glueballs.
- Analysis of QCD vacuum behavior with varying quark masses.
- Establishment of vector dominance in confinement theories.

## Abstract

In this paper we develop a phenomenological model inspired by QCD that mimics QCD theory. We use gauge theory in color dielectric medium ($G(\phi)$) coupled with fermion fields to produce scalar and vector confinement in chromoelectric flux tube scenario. Abelian theory will be used to approximate the non-Abelian QCD theory in a consistent manner. We will calculate vector and scalar glueballs and compare the result to the existing simulation and experimental results and projections. The QCD-like vacuum associated with the model will be calculated and its behavior studied relative to changing quark masses. We will also comment on the relationship between tachyon condensation, dual Higgs mechanism, QCD monopole condensation and their association with confinement. The behavior of the QCD string tension obtained from the vector potential of the model will be studied to establish vector dominance in confinement theories.