Linear Confinement and Ads/QCD

Abstract

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 strong 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).

Heavy-quark potentials and AdS/QCD

“…First, we reduce the integral over x in Eq. (6) to that over z. This is done by using the first integral (8).…”

1/q2corrections and gauge/string duality

“…(iii) It is worth mentioning that the mass formula (8) has been derived in the AdS 5 background with a non-constant dilaton Φ [10] …”

“…It is clear that this is not the only option. For example, the other line of thought is to deform the dilaton [10]. 9 What really fits better to QCD remains to be seen.…”

Holographic estimates of the deconfinement temperature

“…This property was exploited in Ref. [30] for a derivation of the linear confinement potential from the holographic approach and later triggered an active use of the SW models with inverse dilaton profile (see, e.g., [31][32][33][34][35][36]) in spite of a formal existence of a massless vector mode [37].…”