Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT

Details Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT

2006-11-24

arxiv.org/abs/hep-th/0611269v3

Nucl.Phys.B766:232-245,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages; 1 figure; v3: minor rephrasing; misprints corrected

Scientific paper

10.1016/j.nuclphysb.2006.12.013

We compute 1-loop correction E_1 to the energy of folded string in AdS_5 x S^5 (carrying spin S in AdS_5 and momentum J in S^5) using ``long string'' approximation in which S >> J >> 1. According to AdS/CFT E_1 should represent the first subleading correction to strong coupling expansion of anomalous dimension of higher twist SL(2) sector operators of the form Tr D^S Z^J. We show that E_1 smoothly interpolates between the ln S regime (previously found in the J=0 case) and the \lambda/J^2 ln^3 (S/J) regime (which is the leading correction to the thermodynamic limit on the spin chain side). This supports the universality of the ln S scaling. As in previous work, we also find ``non-analytic'' corrections related to non-trivial 1-loop phase in the corresponding Bethe ansatz S-matrix.

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