Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory
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- Wilhelm2015_Article_AmplitudesFormFactorsAndTheDil
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We study the form factor of a generic gauge-invariant local composite operator in $\mathcal{N}=4$ SYM theory. At tree level and for a minimal number of external on-shell super fields, we find that the form factor precisely yields the spin-chain picture of integrability in the language of scattering amplitudes. Moreover, we compute the cut-constructible part of the one-loop correction to this minimal form factor via generalised unitarity. From its UV divergence, we obtain the complete one-loop dilatation operator of $\mathcal{N}=4$ SYM theory. Thus, we provide a field-theoretic derivation of a relation between the one-loop dilatation operator and the four-point tree-level amplitude which was observed earlier. We also comment on the implications of our findings in the context of integrability.
Original language | English |
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Article number | 149 |
Journal | Journal of High Energy Physics (Online) |
Volume | 2014 |
Issue number | 02 |
Number of pages | 39 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
- hep-th, hep-ph
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