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.
Originalsprog | Engelsk |
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Artikelnummer | 149 |
Tidsskrift | Journal of High Energy Physics (Online) |
Vol/bind | 2014 |
Udgave nummer | 02 |
Antal sider | 39 |
ISSN | 1126-6708 |
DOI | |
Status | Udgivet - 2015 |
Eksternt udgivet | Ja |
ID: 227489048