The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz

Details The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz

2007-05-07

arxiv.org/abs/0705.0890v3

Nucl.Phys.B785:1-18,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, one figure, v2: footnote changed, v3: reference added, typo corrected

Scientific paper

10.1016/j.nuclphysb.2007.06.011

Using the quantum string Bethe ansatz we derive the one-loop energy of a folded string rotating with angular momenta (S,J) in AdS_3 x S^1 inside AdS_5 x S^5 in the limit 1 << J << S, z=\lambda^(1/2) log(S/J) /(\pi J) 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 -3 log(2)/\pi. Its appearance is a result of non-trivial cancellations between the finite size effects and the Hernandez-Lopez correction.

Affiliated with

Also associated with

No associations

Rating

The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598516