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arXiv · hep-ph/0602229

Linear Confinement and AdS/QCD

Andreas Karch·Emanuel Katz·Dam T. Son·Mikhail A. Stephanov
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Abstract

In a theory with linear confinement, such as QCD, the masses squared m^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 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).

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Andreas Karch, Emanuel Katz, Dam T. Son, Mikhail A. Stephanov. 2006-07-26. Linear Confinement and AdS/QCD. https://doi.org/10.1103/physrevd.74.015005

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