Three-point functions and mathfrak{s}mathfrak{u}left1Big|1 ight spin chainsReport as inadecuate

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Journal of High Energy Physics

, 2014:173

First Online: 29 September 2014Received: 30 July 2014Accepted: 03 September 2014 Abstract

We compute three-point functions of general operators in the \ \mathfrak{s}\mathfrak{u}\left1\Big|1 ight \ sector of planar \ \mathcal{N} \ = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the twoloop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.

KeywordsSupersymmetric gauge theory 1-N Expansion Bethe Ansatz Integrable Field Theories ArXiv ePrint: 1404.4128

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Author: João Caetano - Thiago Fleury


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