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String Amplitudes from Field-Theory Amplitudes and Vice Versa

2018/12/31 by Song He, Fei Teng, Yong Zhang · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Field (mathematics) #Field theory (psychology) #Geometry #Heterotic string theory #Logarithm #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Reduction (mathematics) #String (physics) #String field theory #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevlett.122.211603

published as Phys. Rev. Lett. 122, 211603 (2019) · 11 pages, 2 figures; v2: more references added and several typos corrected; v3: matching the journal version

openalex publication_date 2019/05/30 · arxiv created 2019/06/21 · arxiv updated 2019/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an integration-by-parts reduction of any massless tree-level string correlator to an equivalence class of logarithmic functions, which can be used to define a field-theory amplitude via a Cachazo-He-Yuan (CHY) formula. The string amplitude is then shown to be the double copy of the field-theory one and a special disk or sphere integral. The construction is generic as it applies to any correlator that is a rational function of correct SL(2) weight. By applying the reduction to open bosonic or heterotic strings, we get a closed-form CHY integrand for the (DF)2+Yang-Mills+ϕ3 theory.

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