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Scattering Amplitudes from Intersection Theory

Sebastian Mizera
Phys. Rev. Lett. 120, 141602 – Published 6 April 2018
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Abstract

We use Picard-Lefschetz theory to prove a new formula for intersection numbers of twisted cocycles associated with a given arrangement of hyperplanes. In a special case when this arrangement produces the moduli space of punctured Riemann spheres, intersection numbers become tree-level scattering amplitudes of quantum field theories in the Cachazo-He-Yuan formulation.

  • Received 14 November 2017
  • Revised 28 February 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.141602

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Sebastian Mizera*

  • Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

  • *smizera@pitp.ca

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Issue

Vol. 120, Iss. 14 — 6 April 2018

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