Abstract

We review some important applications of AdS/CFT correspondence to gain insight into properties of the quark-gluon plasma. We study some important quantities such as drag force, screening length, and jet-quenching parameter of an external probe quark and also quark-antiquark configuration. In particular, we focus on the STU background and compare our results with other important backgrounds.

Highlights

  • The relation between gauge theories and string theory has been the subject of many important studies in the last three decades

  • The famous example of anti-de Sitter (AdS)/conformal field theory (CFT) correspondence is the relation between type IIB string theory in AdS5 × S5 space and N = 4 super Yang-Mills gauge theory on the 4-dimensional boundary of AdS5 space

  • The shear viscosity is one of the important hydrodynamical quantities of quark-gluon plasma (QGP) which relates to the important thermodynamical quantity so-called entropy; in particular it is found that the ratio of shear viscosity η to the entropy density s had a universal value: η/s = 1/4π [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]

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Summary

Introduction

The relation between gauge theories and string theory has been the subject of many important studies in the last three decades. Already the issue of the drag force was considered in the N = 4 super Yang-Mills thermal plasma with several interesting backgrounds [40,41,42,43,44,45,46,47,48,49,50] Another important property of the QGP is called the jetquenching parameter (q). By using AdS/CFT correspondence, the jet-quenching parameter was calculated in nonperturbative quantum field theory. This calculations were already performed in the several interesting backgrounds [51,52,53,54,55,56,57,58]. We review some of the previous results and add some new things and collect all of them in this review article

General Solutions
STU Background
Other Backgrounds
Drag Force
Screening Length
Jet-Quenching Parameter
Conclusion
Jet-Quenching
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