Cutkosky Rules from Outer Space

Jul 17, 2016
8 pages
Published in:
  • PoS LL2016 (2016) 035
Contribution to:
  • Published: Sep 5, 2016 by SISSA
e-Print:
Report number:
  • MAPHY-AVH-2016-16

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Abstract: (PoS)
We overview recent results on the mathematical foundations of Cutkosky rules. We emphasize that the two operations of shrinking an internal edge or putt ing internal lines on the mass-shell are natural operation on the cubical chain complex studied in th e context of geometric group theory. This together with Cutkosky’s theorem regarded as a theorem which informs us about variations connected to the monodromy of Feynman amplitudes allows for a systematic approach to normal and anomalous thresholds, dispersion relations and the opt ical theorem. In this report we follow [1] closely.
Note:
  • 8p, talk given at Loops and Legs in Quantum Field Theory, Leipzig, April 24-29 2016, Germany
  • group theory: geometrical
  • dispersion relation
  • optical theorem
  • monodromy
  • Feynman