Exact anomalous dimensions of N=4 Yang-Mills operators with large R charge
By A. Santambrogio, D. Zanon. 2002
233 citations recorded by the source corpus.
Abstract In a N =1 superspace formulation of N =4 Yang–Mills theory we obtain the anomalous dimensions of chiral operators with large R charge J→∞ keeping g2N/J2 finite, to all orders of perturbation theory in the planar limit. Our result proves the conjecture that the anomalous dimensions are indeed finite in the above limit. This amounts to an exact check of the proposed duality between a sector of N =4 Yang–Mills theory with large R charge J and string theory in a pp-wave background.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4146b40c9fb53c97bf2e002a6d1f4117d45d20e0
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In Nuclear and High Energy Physics
Citations in the corpus
- Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains (2004, methodology): “tion that the idea of a low energy effective action for the Heisenberg-type spin chain is much more powerful than what we actually used here. For example, using the BMN result on the gauge theory side [1, 35] one can immediately fix all (higherderivative) terms quadratic in ~nin the action. One may ex”
- Three-dimensional N=6 SCFT's and their membrane dynamics (2008, result): “This is very similar to the result that was computed first in [87].”
- Dyonic giant magnons (2006, background): “these states to be [4, 6, 7, 8] (see also [ 11 ]),”
- Precision spectroscopy of AdS / CFT (2003, background): “t is not yet known how to compute ∆ exactly, except for supersymmetric BPS operators (for which dimensions are protected, i.e. independent ofλ) and forcertain near-BPS operators with large charge J 3 [3,14]. In principle, one can compute the dimension ∆ perturbatively at small λas an eigenvalue of t”
- Planar N = 4 gauge theory and the Hubbard model (2005, methodology): “Then the BMN proposal [8] along with the arguments of [32] would be invalid for the gauge side.”
- The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, methodology): “In particular the number of fields of the two operators must be equal.”
- Classical/quantum integrability in AdS/CFT (2004, background): “Therefore a direct comparison can be made between the anomalous dimensions of the perturbative gauge theory [10, 14, 15] and the energies of the string oscillations in the plane wave.”
- More comments on superstring interactions in the pp-wave background (2002, unknown): “Moreover the finite quantity ∆− J turns out to be a function of λ′ and g2 2 [3, 12, 13].”
- On three-point correlation functions in the gauge/gravity duality (2010, methodology): “Then, the contribution of the j-th magnon to the anomalous dimension of the operator OA is given by [4, 7, 44–46] γj(g) = √ 1 + 16g2 sin pj 2 − 1 .”
- Dressing the Giant Magnon (2006, background): “7) agrees with the strong coupling limit of the exact magnon dispersion relation [32,38,39]”
- The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “There are some indications that this all-loop prediction for gauge theory might indeed be true [25, 109].”