Linear confinement and AdS/QCD
Abstract
In a theory with linear confinement, such as QCD, the masses squared m_{n,S}^{2} of mesons with high spin S or high radial excitation number n are expected, from semiclassical arguments, to grow linearly with S and n. We show that this behavior can be reproduced within a putative 5dimensional theory holographically dual to QCD (AdS/QCD). With the assumption that such a dual theory exists and describes highly excited mesons as well, we show that an asymptotically linear m^{2} spectrum translates into a strong constraint on the infrared behavior of that theory. In the simplest model which obeys such a constraint we find m_{n,S}^{2}̃(n+S).
 Publication:

Physical Review D
 Pub Date:
 July 2006
 DOI:
 10.1103/PhysRevD.74.015005
 arXiv:
 arXiv:hepph/0602229
 Bibcode:
 2006PhRvD..74a5005K
 Keywords:

 11.25.Tq;
 12.40.y;
 14.40.n;
 Gauge/string duality;
 Other models for strong interactions;
 Mesons;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 14 pages, 1 figure