English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Structure of large spin expansion of anomalous dimensions at strong coupling

MPS-Authors

Forini,  V.
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

0809.5234v1.pdf
(Preprint), 347KB

NPB812_144.pdf
(Any fulltext), 424KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Forini, V., Tirziu, A., Tseytlin, A. A., & Beccaria, M. (2009). Structure of large spin expansion of anomalous dimensions at strong coupling. Nuclear Physics B, 812(1-2), 144-180. doi:10.1016/j.nuclphysb.2008.12.013.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6033-E
Abstract
The anomalous dimensions of planar N=4 SYM theory operators like tr(Phi D^S Phi) expanded in large spin S have the asymptotics \gamma= f ln S + f_c + 1/S (f_11 ln S + f_10) + ..., where f (the universal scaling function or cusp anomaly), f_c and f_mn are given by power series in the `t Hooft coupling \lambda. The subleading coefficients appear to be related by the so called functional relation and parity invariance (or reciprocity) property of the function expressing \gamma in terms of the conformal spin of the collinear group. Here we study the structure of such large spin expansion at strong coupling via AdS/CFT, i.e. by using the dual description in terms of folded spinning string in AdS_5. The large spin expansion of the classical string energy happens to have the same structure as that of \gamma in the perturbative gauge theory. Moreover, the functional relation and the reciprocity constraints on the coefficients are also satisfied. We compute the leading string 1-loop corrections to the coefficients f_c, f_11, f_10 and verify the functional/reciprocity relations at subleading \lambda^{-1/2} order. This provides a strong indication that these relations hold not only in weak coupling (gauge-theory) but also in strong coupling (string-theory) perturbative expansions.