Tailoring three-point functions and integrability

By J. Escobedo, N. Gromov, A. Sever, P. Vieira. 2010

234 citations recorded by the source corpus.

We use integrability techniques to compute structure constants in $ \mathcal{N} = 4 $ SYM to leading order at weak coupling and to leading order in the planar expansion. Three closed spin chains, which represent the single trace gauge-invariant operators in $ \mathcal{N} = 4 $ SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Our results hold for scalar single trace operators of arbitrary size. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7cc6961016968eef1d5248d9db182790013a1c95

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In Nuclear and High Energy Physics

1. C. Kristjansen
2. M. Leeuw
3. K. Zarembo
4. Shota Komatsu
5. N. Beisert
6. T. Fleury
7. S. Frolov
8. A. Tseytlin

In Statistical and Nonlinear Physics

1. Shota Komatsu
2. C. Kristjansen
3. M. Leeuw
4. K. Zarembo
5. T. Fleury
6. N. Drukker
7. S. Frolov
8. M. Staudacher

Citations in the corpus

• One-point functions in defect CFT and integrability (2015, background): “These coordinate space Bethe eigenstates can be related to the eigenstates of the algebraic Bethe ansatz approach in the following way (see, for example, [31])”
• Hexagonalization of correlation functions (2016, background): “For a more detailed explanation of this factor, see introduction of [15].”