Two novel proofs establish equivalence between path integral and stochastic quantizations for scalar Euclidean QFTs via forest-indexed Taylor interpolations.
Duch,Flow equation approach to singular stochastic PDEs,Probab
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Under relative scalings lim ε log(1/δ)=0 and stricter variants, the authors establish LLN, LDP, and CLT for an additive-noise model approximating fluctuating chemotactic particle hydrodynamics in distribution and function spaces via singular SPDE techniques.
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From path integral quantization to stochastic quantization: a pedestrian's journey
Two novel proofs establish equivalence between path integral and stochastic quantizations for scalar Euclidean QFTs via forest-indexed Taylor interpolations.
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An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Under relative scalings lim ε log(1/δ)=0 and stricter variants, the authors establish LLN, LDP, and CLT for an additive-noise model approximating fluctuating chemotactic particle hydrodynamics in distribution and function spaces via singular SPDE techniques.