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Linear Confinement and AdS/QCD

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arxiv hep-ph/0602229 v2 pith:HT576OPB submitted 2006-02-26 hep-ph hep-th

Linear Confinement and AdS/QCD

classification hep-ph hep-th
keywords theorylinearbehaviorconfinementconstraintdualhighmesons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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