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Résumé |
Quantum Field Theory is a major theory in modern physics and raises many important and hard mathematical
questions. In this talk, I will present the approach of stochastic quantization to a mathematical construction of
measures from QFT as invariant measures of stochastic dynamics. Infrared and ultraviolet divergences of the
theory also appears in the stochasic PDEs and a renormalization procedure is also needed. In particular, the
recent progress on the resolution of singular SPDEs provide a robust approach to a mathematical
construction of such objects mainly dealing with ultraviolet divergences via the renormalization of Feynman
diagrams.
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