Production of Semi Quark Gluon Monopole Plasma by Glasma Decay

Abstract

Using the standard Lagrangian of gluons and a model of dual superconductor for magnetic monopoles, we calculate the number densities of the gluons and monopoles produced by the decay of background color electric $E$ and magnetic $B$ fields ( glasma ). We find that gluons are dominant decay products when the initial values of the gauge fields are large such that $gE=gB>(0.5\mbox{GeV})^2$, while they are suppressed and monopoles are dominant decay products when the initial values are small such that $gE=gB<(0.4\mbox{GeV})^2$. The feature of the gluon dominance at large $gE=gB$ and the monopole dominance at small $gE=gB$ is similar to the one of thermalized quark gluon monopole plasmas proposed recently, if we identify $\sqrt{gE}=\sqrt{gB}$ as temperatures of the plasmas. Although the model of the monopoles is phenomenological, our analysis suggests that the monopoles play important roles in the decay of the glasmas with small saturation momenta, to which classical statistical field theories are not applicable.