Ilya Chevyrev: From path integral quantization to stochastic quantization: a pedestrian’s journey

mercredi 6 mai 2026, 14:00 → 15:00 Europe/Paris

In this talk, we examine the relation between two ways of formulating Euclidean quantum field theory: the path integral approach and stochastic 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 graph contributions can be reorganized into forest expansions that match those 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 the main ideas behind these arguments, the intuition for why the two formalisms should agree, and the links with recent results in stochastic partial differential equations.