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arXiv · 1404.4128

Three-Point Functions and su(1|1) Spin Chains

Joao Caetano·Thiago Fleury
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Abstract

We compute three-point functions of general operators in the su(1|1) sector of planar 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 two-loop 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.

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Joao Caetano, Thiago Fleury. 2014-04-16. Three-Point Functions and su(1|1) Spin Chains. https://doi.org/10.1007/jhep09(2014)173

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