Light Quark Energy Loss In D-instanton Background

In the last century,it was discovered that hadrons are composed of quarks and gluons.By increasing the temperature or increasing the particle number density,a new form of matter can be producedquarkgluon plasma(QGP).In order to study the properties of quark gluon plasma,we need to use QGP probes.In this paper,two types of QGP probes,heavy quarkion and jet,are used.Physicists have proposed many calculation methods,among which AdS/CFT is a very important nonperturbative method.In this paper,we study the heavy quark potential,jet quenching parameter and the instantaneous energy loss rate of light quarks based on AdS/CFT.In this paper,we have calculated the instantaneous energy loss rate of light quark using the shooting string model in the Dinstanton background to study the influence of the number density of Dinstantons q on the energy loss of light quarks.It is found that the instantaneous energy loss ratio in the Dinstanton background is larger than that of N=4S YM theory,and the instantaneous energy loss increases as the D-instantons q increases.In order to study the influence of the vorticity on the QGP,a coordinate transformation is performed on the static black hole solution to obtain the nonconformal rotating black hole solution.According to AdS/CFT,we have calculated the heavy quark potential and plotted the curve of heavy quark potential in terms of the distance between quark pairs.We found that the rotational angular velocity and the temperature promote deconfinement,and the number of D instantons suppress deconfinement.Similarly,we also studied the effects of rotational angular velocity,the number of D instantons,and temperature on jet quenching parameter,and found that the jet quenching parameter increases with the increase of angular velocity,D instanton number and temperature,and the jet quenching parameters in the rotating Dinstanton background are larger than that of N=4SYM theory.The conclusions we have obtained are helpful to understand the relevant experimental phenomena in the relativistic heavy ion collisions,and can provide theoretical support for the experimental results.