Thermodynamic Equation of State Under One Loop Correction at Finite Chemical Potential

We evaluate thermodynamic equation of state (EOS) under one loop correction at finite chemical potential. Due to the presence of the chemical potential in the one loop correction, there is change in formation of bubble/droplet of quark-gluon plasma (QGP) and this chemical potential has the effect on the evaluation of EOS. The effect is particularly studied at the values of quark and gluon parametrization \({\gamma }_{q} = 1/8\) ${\gamma }_q=1/8$ and \(12{\gamma }_{q} \le {\gamma }_{g} \le 16{\gamma }_{q}\) $12{\gamma }_q\le {\gamma }_g\le 16{\gamma }_q$ at which the equilibrating bubbles/droplets sizes are obtained. The study indicates that the dynamics of the quark, anti-quark, and gluon fluids with the presence of chemical potential improves the results of the EOS from the earlier result of thermodynamic EOS without the chemical potential. It means that the effect of chemical potential in one loop correction cannot be neglected in the bubble/droplet formation of quark-gluon plasma and this chemical potential can signify the presence of a large number of charge particles in the earlier universe formation.