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

Abstract We compute 1-loop correction E 1 to the energy of folded string in A d S 5 × S 5 (carrying spin S in A d S 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 λ / 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.