Study of the Brownian motion of heavy particles using AdS/CFT duality

In this research we have studied the Brownian motion of a heavy particle in thermalized plasma. This plasma is made of quarks and gluons and it is different with normal plasma. Since, coupling constant is strong in this plasma, usual perturbation method does not work for the study of this plasma. For this purpose AdS/CFT duality is used. Based on the AdS/CFT duality to consider temperature we have to consider a black hole in the bulk. Also, the particle is described by end of the classical string that starts from the boundary of AdS5 space and continues to the black hole . Brownian motion of the particle leads to perturbation in the string and coefficients of the Langevin equation can be obtained precisely from the study of behavior string under this perturbation. With this method longitudinal and transverse Langevin coefficients calculated precisely and we investigate the Einstein relation