Deep inelastic scattering and gauge/string duality
Abstract
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2003
- DOI:
- arXiv:
- arXiv:hep-th/0209211
- Bibcode:
- 2003JHEP...05..012P
- Keywords:
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- Nonperturbative Effects AdS-CFT and dS-CFT Correspondence QCD Deep Inelastic Scattering;
- High Energy Physics - Theory
- E-Print:
- 52 pages, 10 figures