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Integration rules for scattering equations
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DOI：10.1007/JHEP09(2015)129.png)
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Abstract
En 中文
As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering equations. Because the number of solutions to the scattering equations grows quite rapidly, the contour of integration involves contributions from many isolated components. In this paper, we provide a simple, combinatorial rule that immediately provides the result of integration against the scattering equation constraints for any Mobius-invariant integrand involving only simple poles. These rules have a simple diagrammatic interpretation that makes the evaluation of any such integrand immediate. Finally, we explain how these rules are related to the computation of amplitudes in the field theory limit of string theory.
Keywords:
Superstrings and Heterotic Strings
Discrete and Finite Symmetries
Anomalies in Field and String Theories
String Duality
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W