Unifying relations for scattering amplitudes
By C. Cheung, Chia-Hsien Shen, Congkao Wen. 2017
136 citations recorded by the source corpus.
A bstractWe derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and two-form, we generate all the amplitudes of Einstein-Yang-Mills theory, Dirac-Born-Infield theory, special Galileon, nonlinear sigma model, and biadjoint scalar theory. Transmutation also relates amplitudes in string theory and its variants. As a corollary, celebrated aspects of gluon and graviton scattering like color-kinematics duality, the KLT relations, and the CHY construction are inherited traits of the transmuted amplitudes. Transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e1f7f9d6a21089560851c0878b8d9ab02e678117
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In Astronomy and Astrophysics
- Mariana Carrillo-González
- C. Cheung
- R. Penco
- M. Trodden
- S. Tsujikawa
- Lavinia Heisenberg
- Sabrina Pasterski
- E. Pajer
In Nuclear and High Energy Physics
- C. Cheung
- R. Penco
- M. Trodden
- S. Tsujikawa
- Sabrina Pasterski
- E. Pajer
- Valerio Faraoni
- Lavinia Heisenberg
In Statistical and Nonlinear Physics
Citations in the corpus
- The classical double copy in maximally symmetric spacetimes (2017, background): “A similar relation exists between pure Yang-Mills and Yang-Mills-scalar amplitudes, where the Yang-Mills and scalar field are coupled with the usual gauge interactions [6].”
- Weight shifting operators and conformal blocks (2017, unknown): “tural questions include: What is the flat-space limit of weight-shifting operators? Are they useful for amplitudes calculations (for example are they related to the differential operators introduced in [141])? Weight-shifting operators may also be helpful for exploring spinning amplitudes in the confo”
- TASI Lectures on Scattering Amplitudes (2017, background): “ compact construction for the S-matrices of all the theories in Fig. 1. That this is even possible is a manifestation of a hidden unity among these theories, instantiated by a set of simple relations [112] which extract all their S-matrices from that of gravity. Last but not least, the double copy a”