Vector Space of Feynman Integrals and Multivariate Intersection Numbers.

  title={Vector Space of Feynman Integrals and Multivariate Intersection Numbers.},
  author={Hjalte Frellesvig and Federico Gasparotto and Manoj K. Mandal and Pierpaolo Mastrolia and Luca Mattiazzi and Sebastian Mizera},
  journal={Physical review letters},
  volume={123 20},
  • Hjalte Frellesvig, Federico Gasparotto, +3 authors Sebastian Mizera
  • Published in Physical review letters 2019
  • Medicine, Physics
  • Feynman integrals obey linear relations governed by intersection numbers, which act as scalar products between vector spaces. We present a general algorithm for the construction of multivariate intersection numbers relevant to Feynman integrals, and show for the first time how they can be used to solve the problem of integral reduction to a basis of master integrals by projections, and to directly derive functional equations fulfilled by the latter. We apply it to the decomposition of a few… CONTINUE READING

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