https://doi.org/10.1140/epjc/s10052-015-3795-9
Regular Article - Theoretical Physics
Holographic screening length in a hot plasma of two sphere
1
Department of Physics, Faculty of Science, Quantum Science Centre, University of Malaya, 50603, Kuala Lumpur, Malaysia
2
Research Center for Physics, Indonesian Institute of Sciences (LIPI), Kompleks PUSPITEK Serpong, Tangerang, 15310, Indonesia
* e-mail: ardian_n_a@um.edu.my
Received:
24
August
2014
Accepted:
16
November
2015
Published online:
28
November
2015
We study the screening length 
of a moving quark–antiquark pair in a hot plasma, which lives in a two sphere, 
, using the AdS/CFT correspondence in which the corresponding background metric is the four-dimensional Schwarzschild–AdS black hole. The geodesic of both ends of the string at the boundary, interpreted as the quark–antiquark pair, is given by a stationary motion in the equatorial plane by which the separation length L of both ends of the string is parallel to the angular velocity 
. The screening length and total energy H of the quark–antiquark pair are computed numerically and show that the plots are bounded from below by some functions related to the momentum transfer 
of the drag force configuration. We compare the result by computing the screening length in the reference frame of the moving quark–antiquark pair, in which the background metrics are “Boost-AdS” and Kerr–AdS black holes. Comparing both black holes, we argue that the mass parameters 
of the Schwarzschild–AdS black hole and 
of the Kerr–AdS black hole are related at high temperature by 
, where a is the angular momentum parameter and l is the AdS curvature.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
