Study on Screenning Length of Quark-AntiQuark Pair in a Hot Plasma of Two Dimensional Sphere

Abstract

We study screening length of a quark-antiquark pair moving in a plasma, corresponds to four dimensional AdS-Schwarzschild Black Hole, in AdS/CFT correspondence. The geodesic solution of the ends of string at the boundary reduces the problem to the motion in equatorial plane in which the separation length \(L\) of quark-antiquark pair is parallel to the angular velocity \(\omega\). The string configuration for quark-antiquark pair is parameterized by momentum transfer \(P\) which is related to momentum transfer in the drag force configuration. We compare the result by computing the screening length in quark-antiquark reference frame where the gravity dual is four dimensional Kerr-AdS Black Hole and we find a relation between mass parameters \(M_{Sch}\) of Schwarzschild-AdS Black Hole and \(M_{Kerr}\) of Kerr-AdS Black Hole in large mass limit.