14–18 Oct 2024
Max Planck Institute for Physics
Europe/Berlin timezone

Spectral Analysis of the Feynman Integral: Stratifying Wave Fronts and Landau Singularities

15 Oct 2024, 16:45
15m

Speaker

Felix Tellander (University of Oxford)

Description

I will present a method to calculate the Landau singularities of a Feynman integrals using Whitney stratifications. Whitney stratifications themselves are microlocal in nature, meaning that they naturally do not only live in the space we are stratifying but in the cotangent bundle of this space. With this in mind I introduce a microlocal (or rather distributional) framework for Feynman integrals where singularities are now described by wave front sets and characteristic varieties; these sets not only describe where a distribution is singular but also the Fourier components causing them. The role of Whitney stratifications will be stressed throughout.

Primary author

Felix Tellander (University of Oxford)

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