Pierre Clavier: Borel-Ecalle resummation for a Quantum Field Theory

Borel-Ecalle resummation of resurgent functions is a vast generalisation of the well-known Borel-Laplace resummation method. It can be decomposed into three steps: Borel transform, averaging and Laplace transform. I start by a pedagogical introduction of each of these steps. To illustrate the feasability of the Borel-Ecalle resummation method I then use it to resum the solution of a (truncated) Schwinger-Dyson equation of a Wess-Zumino model. This is done using known results about this Wess-Zumino model as well as Sauzin's analytical bounds on convolution of resurgent functions.

One World Mathematical Physics Seminar of the IAMP.

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Lovely video, where did you or see you studying at?