Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
arXiv:0710.1991 · doi:10.1088/1126-6708/2008/01/067
Abstract
Recently, several multi-loop conjectures have been proposed for the spin dependence of anomalous dimensions of twist-2 and 3 operators in the sl(2) sector of N=4 SYM. Currently, these conjectures are not proven, although several consistency checks have been performed on their large spin expansion. In this paper, we show how these expansions can be efficiently computed without resorting to any conjecture. To this aim we present in full details a method to expand at large spin the solution of the long-range Baxter equation. We treat the twist-2 and 3 cases at two loops and the twist-3 case at three loops. Several subtleties arise whose resolution leads to a simple algorithm computing the expansion.
26 pages
References in corpus (16)
- The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
- Quantum corrections to the string Bethe ansatz
- On String S-matrix, Bound States and TBA
- Dressing and Wrapping
- Logarithmic scaling in gauge/string correspondence
- Anomalous dimensions of high-spin operators beyond the leading order
- Wrapping interactions at strong coupling -- the giant magnon
- On the Hopf algebra structure of the AdS/CFT S-matrix
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- N=4 SUSY Yang--Mills: three loops made simple(r)
- Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
- Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
- Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
- Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
- Baxter equation for long-range SL(2|1) magnet
- Universality of three gaugino anomalous dimensions in N=4 SYM