DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
By Anatoly V. Kotikov, L. Lipatov. 2001
344 citations recorded by the source corpus.
We discuss DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory in the leading and next-to-leading approximations. Eigenvalues of the BFKL kernel in this model turn out to be analytic functions of the conformal spin. It allows us to find the residues of the anomalous dimensions of the twist-2 operators in the points j = 1, 0,−1, .... from the BFKL equation in an agreement with their direct calculation from the DGLAP equation. The holomorphic separability of the BFKL kernel and the integrability of the DGLAP dynamics in this model are also discussed. PACS: 12.38.Bx
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b7eea318210ba7d9c07714d1e94f84d23a7530fb
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In Nuclear and High Energy Physics
Citations in the corpus
- Wrapping interactions at strong coupling: The giant magnon (2007, background): “of fixing the dressing factor at all values of the coupling has been concluded in [13], where a specific solution of crossing constraints [14] in [15] was chosen based on arguments of transcendentality [16, 17, 13]. A very nontrivial cross-check of this choice was the 4-loop calculation of [18]. The B”
- Integrability and transcendentality (2006, methodology): “rguments of the zeta functions of each product always add up to the number 2ℓ− 2. This is a test of the “transcendentality principle” of Kotikov, Lipatov, Onishchenko and Velizhanin as spelled out in [7, 8, 10], and we see that our Bethe ansatz is consistent with this principle6. Finally it is also ”
- Conformal Regge theory (2012, background): “10These three trajectories are related by supersymmetry [22].”
- Deep inelastic scattering at strong coupling from gauge/string duality: the saturation line (2007, result): “At weak coupling, the high energy behavior is just like in perturbative QCD — in particular, to lowest order, the BFKL equation is formally identical in QCD and N = 4 SYM [ 10 ] — while at strong coupling and in the large Nc limit the AdS/CFT correspondence [11] maps the theory onto a weakly coupled”
- Dressing and wrapping (2007, methodology): “Luckily this two-loop correction to the BFKL equation was worked out in the case of the N = 4 supersymmetric gauge theory [31, 21].”