Four loop twist two, BFKL, wrapping and strings

By Z. Bajnok, Romuald A. Janik, Tomasz Lukowski. 2008

195 citations recorded by the source corpus.

Abstract The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL. For N = 4 SYM it was shown that at four loops, the anomalous dimensions derived from the all-loop asymptotic Bethe ansatz do not pass this test. In this paper we obtain the remaining wrapping part of these anomalous dimensions from string theory and show that these contributions exactly cure the problem and lead to agreement with both LO and NLO BFKL expectations.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5d31d3f5fd96f4f6bd2a2f1da4e2863391d23251

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Tomasz Lukowski
2. A. Rej
3. V. Velizhanin
4. A. Cavaglià
5. R. Tateo
6. D. Fioravanti
7. Z. Bajnok
8. Shota Komatsu

In Nuclear and High Energy Physics

1. Tomasz Lukowski
2. Z. Bajnok
3. M. Costa
4. V. Gonçalves
5. A. Rej
6. Romuald A. Janik
7. V. Velizhanin
8. J. Penedones

Citations in the corpus

• Conformal Regge theory (2012, background): “The anomalous dimensions γn are known up to five loops [22, 23, 24, 25] and obey the principle of maximal transcendentality [22].”
• Extended Y-system for the AdS5/CFT4 correspondence (2010, methodology): “tribution to the Konishi operator. The result was readily confirmed by the complicated diagrammatic calculations of [15]. The method proposed by Bajnok and Janik can be extended to higher orders in g2 [16,17] but -as in most of the known perturbative schemes- the technical complication increases very”
• Five-loop anomalous dimension of twist-two operators (2009, methodology): “In this section we calculate the wrapping correction by evaluating the first Lüscher correction at weak-coupling along the lines advocated in [19], [23] and [24].”
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory (2015, background): “The integral (35) mimics in many ways the Lüsher formula for the spectrum [47].”
• Five loop Konishi from AdS/CFT (2009, background): “Such states have been considered perturbatively in [41] and it may be possible to have a direct 5-loop perturbative computation in this case.”