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

TL;DR

This paper calculates the first subleading 1-loop correction to the energy of a folded string in AdS/CFT, revealing a universal logarithmic scaling in the strong coupling limit for higher twist operators.

Contribution

It provides the first detailed computation of 1-loop corrections to string energies in AdS/CFT, demonstrating the universality of logarithmic scaling across regimes.

Findings

E_1 correction interpolates between ln S and λ/J^2 ln^3(S/J) regimes

Supports universality of ln S scaling in strong coupling

Identifies non-analytic corrections related to Bethe ansatz phase

Abstract

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.