Dressing and wrapping
By Anatoly V. Kotikov, L. Lipatov, A. Rej, M. Staudacher, V. Velizhanin. 2007
245 citations recorded by the source corpus.
We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/997172ebf3884790fea4fe54d6e449be3d4e4bcb
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Citations in the corpus
- Four-loop perturbative Konishi from strings and finite size effects for multiparticle states (2008, background): “The weak coupling result [32] is however a bit indirect and, for the moment, difficult to use, so various groups [37, 38, 39] set out to compute the anomalous dimension of the Konishi operator at four loop level – the lowest order where these effects may appear.”
- When does the gluon reggeize? (2013, unknown): “We refer to [73] for a recent application of this equation and for original references.”
- Five loop Konishi from AdS/CFT (2009, background): “The corresponding leading order Lüscher calculation found an excellent agreement [39].”
- On string S-matrix, bound states and TBA (2007, background): “Although the conjectured S-matrix [13, 14] provides an important starting point in addressing this issue, by now there is firm evidence that the corresponding Bethe equations [8] fail to correctly reproduce the finite-size effects, neither in string [35] nor in gauge theory [36].”
- Conformal Regge theory (2012, methodology): “We denote the other function, used in [17], by Φ̃ and explain the connection between the two in Appendix D.”
- Five-loop anomalous dimension of twist-two operators (2009, methodology): “Thus, following the method discussed in [17], one would have to expand γ 10 in this basis and determine the coefficients by means of solving the sl(2) asymptotic Bethe equations (4.”
- Four-loop non-singlet splitting functions in the planar limit and beyond (2017, background): “ (7.1), as the ‘wrapping correction’ in the anomalous dimensions in N =4 maximally supersymmetric Yang-Mills theory [120], where it is crucial for obtaining the correct small-x limit, see, e.g., ref. [121]. We thus hypothesize that eq. (7.1) represents the first glimpseof the wrapping corrections in ”
- Four loop twist two, BFKL, wrapping and strings (2008, methodology): “Wrapping correction for odd particle number In computing the anomalous dimension of twist two operators the consideration of odd states played an important role [34].”
- Wrapping interactions at strong coupling: The giant magnon (2007, background): “22 08 ∗e-mail: ufrjanik@if.uj.edu.pl †e-mail: tomaszlukowski@gmail.com”
- Wrapping at four loops in N=4 SYM theory (2007, methodology): “In the literature two different results for the Konishi anomalous dimension are conjectured on the basis of the Hubbard model [15] and on an analysis of the BFKL equation [19].”