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

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 operato...

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Bibliographic Details
Published in:Physical review letters 2016-07, Vol.117 (1), p.011601-011601, Article 011601
Main Authors: Koster, Laura, Mitev, Vladimir, Staudacher, Matthias, Wilhelm, Matthias
Format: Article
Language:English
Subjects:
Form factors
Formulations
Operators
Scalars
Supersymmetry
Yang-Mills theory
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.117.011601