LINEAR CONFINEMENT AND ADS/QCD

A. KARCH, E. KATZ, D. T. SON, M. A. STEPHANOV
2007 Continuous Advances in QCD 2006  
In a theory with linear confinement, such as QCD, the masses squared m 2 n,S 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 5-dimensional 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 asymptotically linear m 2 spectrum translates into a
more » ... trong constraint on the infrared behavior of that theory. In the simplest model which obeys such a constraint we find m 2 n,S ∼ (n + S). On the other hand, semiclassical Bohr-Sommerfeld quantization requires pdx ∼ n,
doi:10.1142/9789812708267_0009 fatcat:fpivtspdtvan7d2xaubmoplvwu