Scattering equations and Feynman diagrams
Copyright policy )Scattering equations and Feynman diagrams
We show a direct matching between individual Feynman diagrams and integration measures in the scattering equation formalism of Cachazo, He and Yuan. The connection is most easily explained in terms of triangular graphs associated with planar Feynman diagrams in $��^3$-theory. We also discuss the generalization to general scalar field theories with $��^p$ interactions, corresponding to polygonal graphs involving vertices of order $p$. Finally, we describe how the same graph-theoretic language can be used to provide the precise link between individual Feynman diagrams and string theory integrands.
18 pages, 57 figures
- UNIVERSITY OF COPENHAGEN
- University of Copenhagen Finland
- University of Copenhagen Denmark
- University of Copenhagen (UCPH) Denmark
- University of copenhaguen Denmark
High Energy Physics - Theory, Nuclear and High Energy Physics, Path integrals in quantum mechanics, FOS: Physical sciences, scattering amplitudes, Superstrings and Heterotic Strings, High Energy Physics - Theory (hep-th), string duality, superstrings and heterotic strings, Discrete and Finite Symmetries, discrete and finite symmetries, String Duality, Scattering Amplitudes
High Energy Physics - Theory, Nuclear and High Energy Physics, Path integrals in quantum mechanics, FOS: Physical sciences, scattering amplitudes, Superstrings and Heterotic Strings, High Energy Physics - Theory (hep-th), string duality, superstrings and heterotic strings, Discrete and Finite Symmetries, discrete and finite symmetries, String Duality, Scattering Amplitudes
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