An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature

Abstract

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

Comments: 21 pages, 11 figures