Holographic screening length in a hot plasma of two sphere
Abstract
We study the screening length L_{max} of a moving quarkantiquark pair in a hot plasma, which lives in a two sphere, S^2, using the AdS/CFT correspondence in which the corresponding background metric is the fourdimensional SchwarzschildAdS black hole. The geodesic of both ends of the string at the boundary, interpreted as the quarkantiquark 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 ω . The screening length and total energy H of the quarkantiquark pair are computed numerically and show that the plots are bounded from below by some functions related to the momentum transfer P_c of the drag force configuration. We compare the result by computing the screening length in the reference frame of the moving quarkantiquark pair, in which the background metrics are "BoostAdS" and KerrAdS black holes. Comparing both black holes, we argue that the mass parameters M_{Sch} of the SchwarzschildAdS black hole and M_{Kerr} of the KerrAdS black hole are related at high temperature by M_{Kerr}=M_{Sch}(1a^2l^2)^{3/2}, where a is the angular momentum parameter and l is the AdS curvature.
 Publication:

European Physical Journal C
 Pub Date:
 November 2015
 DOI:
 10.1140/epjc/s1005201537959
 arXiv:
 arXiv:1111.7045
 Bibcode:
 2015EPJC...75..565A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Major revision: title changed, adding authors, 13 pages, 8 figures, etc. Accepted for publication in European Physical Journal C