Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory

Research output: Contribution to journalJournal articlepeer-review

Standard

Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory. / Wilhelm, Matthias.

In: Journal of High Energy Physics (Online), Vol. 2014, No. 02, 149, 2015.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Wilhelm, M 2015, 'Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory', Journal of High Energy Physics (Online), vol. 2014, no. 02, 149. https://doi.org/10.1007/JHEP02(2015)149

APA

Wilhelm, M. (2015). Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory. Journal of High Energy Physics (Online), 2014(02), [149]. https://doi.org/10.1007/JHEP02(2015)149

Vancouver

Wilhelm M. Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory. Journal of High Energy Physics (Online). 2015;2014(02). 149. https://doi.org/10.1007/JHEP02(2015)149

Author

Wilhelm, Matthias. / Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory. In: Journal of High Energy Physics (Online). 2015 ; Vol. 2014, No. 02.

Bibtex

@article{b7b0e3ae1f1547ee9d808ff5f9570ed7,
title = "Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory",
abstract = " 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. ",
keywords = "hep-th, hep-ph",
author = "Matthias Wilhelm",
year = "2015",
doi = "10.1007/JHEP02(2015)149",
language = "English",
volume = "2014",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "02",

}

RIS

TY - JOUR

T1 - Amplitudes, Form Factors and the Dilatation Operator in N=4 SYM Theory

AU - Wilhelm, Matthias

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - hep-th

KW - hep-ph

U2 - 10.1007/JHEP02(2015)149

DO - 10.1007/JHEP02(2015)149

M3 - Journal article

VL - 2014

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 02

M1 - 149

ER -

ID: 227489048