One-loop self-dual and N = 4 super Yang-Mills

1996/11/30 by Z. Bern, Zvi Bern, L. Dixon +5 · 15 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(96)01676-0

published as Phys.Lett.B394:105-115,1997 · 14 pages, TeX, three figures, two new references added

arxiv created 1996/12/23 · openalex publication_date 1997/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We conjecture a simple relationship between the one-loop maximally helicity violating gluon amplitudes of ordinary QCD (all helicities identical) and those of N=4 supersymmetric Yang-Mills (all but two helicities identical). Because the amplitudes in self-dual Yang Mills have been shown to be the same as the maximally helicity violating ones in QCD, this conjecture implies that they are also related to the maximally helicity violating ones of N=4 supersymmetric Yang-Mills. We have an explicit proof of the relation up to the six-point amplitude; for amplitudes with more external legs, it remains a conjecture. A similar conjecture relates amplitudes in self-dual gravity to maximally helicity violating N=8 supergravity amplitudes.

Citations

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• A cubic action for self-dual Yang-Mills

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