The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
| dc.creator | Casteill, P. Y. | |
| dc.creator | Kristjansen, C. | |
| dc.date | 2007-05-07 | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T10:59:59Z | |
| dc.date.available | 2026-07-07T10:59:59Z | |
| dc.description | 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=λ^(1/2) log(S/J) /(πJ) 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)/π. Its appearance is a result of non-trivial cancellations between the finite size effects and the Hernandez-Lopez correction. | |
| dc.description | 18 pages, one figure, v2: footnote changed, v3: reference added, typo corrected | |
| dc.identifier | https://arxiv.org/abs/0705.0890 | |
| dc.identifier | http://arxiv.org/abs/0705.0890 | |
| dc.identifier | Nucl.Phys.B785:1-18,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.06.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187596 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz | |
| dc.type | text |