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The Flow equations of the renormalization group

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SRQW01 - Renormalisation in quantum field theory and in stochastic partial differential equations: a gentle introduction and some recent developments

The Flow equations in Polchinski's setting allow for a simple and transparent proof of perturbative renormalizability, cirumventing auxiliary combinatoric structures. They also permit to prove properties of perturbative Schwinger functions which are out of reach in other settings. The main problem for a nonperturbative analysis of those equations lies in their combinatoric instability, which is present already at the mean field level.

This talk is part of the Isaac Newton Institute Seminar Series series.

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