Composite Operators in the Twistor Formulation of N=4 Supersymmetric Yang-Mills Theory

Laura Koster, Vladimir Mitev, Matthias Staudacher, and Matthias Wilhelm
Phys. Rev. Lett. 117, 011601 – Published 29 June 2016

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.

  • Figure
  • Received 6 April 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.011601

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Laura Koster1,*, Vladimir Mitev1,2,†, Matthias Staudacher1,‡, and Matthias Wilhelm1,3,§

  • 1Institut für Mathematik, Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany
  • 2PRISMA Cluster of Excellence, Institut für Physik, WA THEP, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, 55128 Mainz, Germany
  • 3Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100 Copenhagen Ø, Denmark

  • *laurakoster@physik.hu-berlin.de
  • vmitev@uni-mainz.de
  • matthias@math.hu-berlin.de
  • §matthias.wilhelm@nbi.ku.dk

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Issue

Vol. 117, Iss. 1 — 1 July 2016

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