TY - JOUR
T1 - Scattering equations and Feynman diagrams
AU - Baadsgaard, Christian
AU - Bjerrum-Bohr, N. E.J.
AU - Bourjaily, Jacob L.
AU - Damgaard, Poul H.
N1 - Publisher Copyright:
© 2015, The Author(s).
PY - 2015/9/29
Y1 - 2015/9/29
N2 - Abstract: 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 φ3-theory. We also discuss the generalization to general scalar field theories with φp 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.
AB - Abstract: 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 φ3-theory. We also discuss the generalization to general scalar field theories with φp 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.
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U2 - 10.1007/JHEP09(2015)136
DO - 10.1007/JHEP09(2015)136
M3 - Article
AN - SCOPUS:84942513636
SN - 1126-6708
VL - 2015
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 136
ER -