Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1842242 | Nuclear Physics B | 2007 | 18 Pages |
Abstract
Using the quantum string Bethe ansatz we derive the one-loop energy of a folded string rotating with angular momenta (S,J) in AdS3ÃS1âAdS5ÃS5 in the limit 1âªJâªS, z=λlog(S/J)/(ÏJ) fixed. The one-loop energy is a sum of two contributions, one originating from the Hernandez-Lopez phase and another one being due to spin chain finite size effects. We find a result which at the functional level exactly matches the result of a string theory computation. Expanding the result for large z we obtain the strong coupling limit of the scaling function for low twist, high spin operators of the SL(2) sector of N=4 SYM. In particular, we recover the famous â3log(2)Ï. Its appearance is a result of non-trivial cancellations between the finite size effects and the Hernandez-Lopez correction.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
P.Y. Casteill, C. Kristjansen,