In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resums the perturbative series. In a confirmation of the anti–de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS5. We also make a numerical prediction for the third term in the strong coupling series.

Test of the anti-de sitter-space/conformal-field-theory correspondence using high-spin operators / Benna, S.; Benvenuti, S.; Klebanov, I.; Scardicchio, A.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 98:13(2007), pp. 1-4. [10.1103/PhysRevLett.98.131603]

Test of the anti-de sitter-space/conformal-field-theory correspondence using high-spin operators

Benvenuti, S.;
2007-01-01

Abstract

In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resums the perturbative series. In a confirmation of the anti–de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS5. We also make a numerical prediction for the third term in the strong coupling series.
2007
98
13
1
4
131603
https://arxiv.org/abs/hep-th/0611135
Benna, S.; Benvenuti, S.; Klebanov, I.; Scardicchio, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32733
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