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SUMMARY:Ilya Chevyrev: From path integral quantization to stochastic quant
 ization: a pedestrian’s journey
DTSTART:20260506T120000Z
DTEND:20260506T130000Z
DTSTAMP:20260503T192500Z
UID:indico-event-16381@indico.math.cnrs.fr
DESCRIPTION:In this talk\, we examine the relation between two ways of for
 mulating Euclidean quantum field theory: the path integral approach and st
 ochastic quantization. Focusing on scalar field theories\, we give two new
  proofs that these two perspectives lead to the same correlation functions
 . The first proof works perturbatively\, showing how individual Feynman gr
 aph contributions can be reorganized into forest expansions that match tho
 se of the stochastic quantization procedure. The second works directly at 
 the level of the path integral through a constructive Taylor interpolation
  without the need to expand the full perturbation theory. I will explain t
 he main ideas behind these arguments\, the intuition for why the two forma
 lisms should agree\, and the links with recent results in stochastic parti
 al differential equations.\n\nhttps://indico.math.cnrs.fr/event/16381/
URL:https://indico.math.cnrs.fr/event/16381/
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