An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature

The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A dielectric function $G(|\phi|)$ coupled with Abelian gauge field is properly defined mediate the glueball interactions at confining regime after {\it spontaneous symmetry breaking} (SSB) symmetry. particles are expected form through quark plasma (QGP) hadronization phase where free quarks gluons start clamping together hadrons. QCD-like vacuum $\langle\eta^2m_\eta^2F^{\mu\nu}F_{\mu\nu}\rangle$, potential $V_c(r)$, string tension $\sigma$, penetration depth $\lambda$, superconducting normal densities ($n_s\,n_n$) effective masses ($m_\eta^{2}$ $m_A^{2}$) will be investigated finite temperature $T$. We also calculate strong `running' coupling $\alpha_s$ subsequently $\beta$-function. Dual superconducting} nature based on condensation.