[Jugeau, Frederic] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Jugeau, Frederic] Chinese Acad Sci, Theoret Phys Ctr Sci Facil, Beijing 100049, Peoples R China
It is known, since the 70s, that the large N 't Hooft limit of gauge theories is related to string theories. In 1998,J. M. Maldacena identified precisely such a relation: the so-called AdS/CFT correspondence which speculates a duality between a large N strongly-coupled super-symmetric and conformal Yang-Mills theory in four dimensions and a Sitter AdS(5) space-time. This review aims at introducing concepts and methods used to derive, in the framework of the gauge/string correspondence, the interaction potentials of mesons and baryons at zero and finite temperature. The dual string configurations associated with the different kinds of hadrons are described and their behaviours at short and large distances are understood. Although the application of Maldacena's AdS/CFT conjecture to QCD is not straightforward, QCD being neither supersymmetric nor conformal, the AdS/QCD correspondence approach attempts to identify the dual theory of QCD. Especially, the study of heavy quark-antiquark bound-states leads to establish general dual criteria for the confinement. (C) 2010 Elsevier Inc. All rights reserved.