4.5 Article

Deep inelastic scattering and gauge/string duality

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2003/05/012

Keywords

nonperturbative effects; AdS-CFT and dS-CFT correspondence; QCD; deep inelastic scattering

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We study deep inelastic scattering in gauge theories which have dual string descriptions. As a function of gN we find a transition. For small gN, the dominant operators in the OPE are the usual ones, of approximate twist two, corresponding to scattering from weakly interacting partons. For large gN, double-trace operators dominate, corresponding to scattering from entire hadrons (either the original 'valence' hadron or part of a hadron cloud.) At large gN we calculate the structure functions. As a function of Bjorken x there are three regimes: x of order one, where the scattering produces only supergravity states; x small, where excited strings are produced; and, x exponentially small, where the excited strings are comparable in size to the AdS space. The last regime requires in principle a full string calculation in curved spacetime, but the effect of string growth can be simply obtained from the world-sheet renormalization group.

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