title: Composite Operators in the Twistor Formulation of N=4 Supersymmetric Yang-Mills Theory.
abstract: We incorporate gauge-invariant local composite operators into the twistor-space formulation of N=4 super Yang-Mills theory. In this formulation, the interactions of the elementary fields are reorganized into infinitely many interaction vertices and we argue that the same applies to composite operators. To test our definition of the local composite operators in twistor space, we compute several corresponding form factors, thereby also initiating the study of form factors using the position twistor-space framework. Throughout this Letter, we use the composite operator built from two identical complex scalars as a pedagogical example; we treat the general case in a follow-up paper.
authors.affiliation: Institut für Mathematik, Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany.
authors.forename: Laura
authors.initials: L
authors.lastname: Koster
authors.affiliation: Institut für Mathematik, Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany.|PRISMA Cluster of Excellence, Institut für Physik, WA THEP, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, 55128 Mainz, Germany.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Mitev
authors.affiliation: Institut für Mathematik, Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany.
authors.forename: Matthias
authors.initials: M
authors.lastname: Staudacher
authors.affiliation: Institut für Mathematik, Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany.|Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark.
authors.forename: Matthias
authors.initials: M
authors.lastname: Wilhelm