Hadron potentials within the gauge/string correspondence

TL;DR

This paper reviews how the gauge/string correspondence, especially AdS/CFT, is used to derive interaction potentials of hadrons, providing insights into confinement and hadron behavior at different distances.

Contribution

It introduces methods to derive hadron potentials within the gauge/string duality framework, including dual configurations for mesons and baryons at various temperatures.

Findings

Descriptions of dual string configurations for different hadrons

Behavior of hadron potentials at short and large distances

Criteria for confinement derived from heavy quark-antiquark states

Abstract

It is known, since the 70's, 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 supersymmetric and conformal Yang-Mills theory in four dimensions and a weakly-coupled string theory defined in a five-dimensional anti-de Sitter AdS 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 behaviors at short and large distances are understood. Although the application of Maldacena's AdS/CFT conjecture to QCD is not straightforward, being QCD 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.