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Explore a mathematical lecture on quantum Yang-Mills theory that introduces a novel family of observables for 3D quantum Yang-Mills theory through regularizing connections with the Yang-Mills heat flow. Discover how these observables demonstrate the existence of a unique renormalization of the stochastic quantization equation in 3D Yang-Mills that preserves gauge symmetries, complementing recent theoretical developments in the field. Examine the mathematical framework built on short time expansions of stochastic partial differential equations and regularized Wilson loops, requiring precise coordination between dynamic running time and regularization parameters from the Yang-Mills heat flow. Learn about cutting-edge research in mathematical physics that bridges stochastic analysis, gauge theory, and renormalization theory through collaborative work between leading researchers in the field.
