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

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 a "long string" approximation in which S >> J >> 1. According to the AdS/CFT the function E-1 should represent 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 the previous work, we also find "non-analytic" corrections related to non-trivial 1-loop phase in the corresponding Bethe ansatz S-matrix. (C) 2007 Elsevier B.V. All rights reserved.