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

Physics – High Energy Physics – High Energy Physics - Theory

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13 pages and 5 figures

Scientific paper

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.

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