  In this paper, we develop models applicable to phenomenological particle
physics by using the string analogy of particles. These theories can be used to
investigate the phenomenology of confinement, deconfinement, chiral condensate,
QGP phase transitions, and even the evolution of the early universe. Other
confining properties such as scalar glueball mass, gluon mass, glueball-meson
mixing states, QCD vacuum, and color superconductivity can also be investigated
in these model frameworks. We use one of the models to describe the phenomenon
of color confinement among glueballs at the end of the paper. The models are
built based on the Dirac-Born-Infeld (DBI) action modified for opened strings
with their endpoints on a D$p$-brane or brane-anti-brane at a tachyonic vacuum.
