Study of the effect of gluons interaction to order g^3 on the equation of state of quark – gluons plasma

Abstract

In this work we have studied the effect of exchange interactions between the gluons from order of coupling constant on the equation of state of quark – gluon plasma, and on some thermodynamic quantities like, heat capacity, entropy and compare this effect with the effect of interaction from order where they have been studied as function of temperature and coupling constant. We assumed that, the plasma composed of just two massless quarks (the up and down quark) which exchange interaction.                                                                                                           

We have found that even at high temperature the plasma shows a different manner of ideal gas, which maybe because of the residual interactions between the particles even at this stage of temperature. the heat capacity as known increase by increasing the temperature, but this increasing affected when we insert different order of coupling constant. Also it had been found that, the interactions between the gluons from order  increase the entropy of the plasma as opposite effect of the order  which decrease the entropy.