Two novel proofs establish equivalence between path integral and stochastic quantizations for scalar Euclidean QFTs via forest-indexed Taylor interpolations.
Paracontrolled distributions and singular PDEs
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abstract
We introduce an approach to study certain singular PDEs which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illustrate its applicability on some model problems like differential equations driven by fractional Brownian motion, a fractional Burgers type SPDE driven by space-time white noise, and a non-linear version of the parabolic Anderson model with a white noise potential.
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UNVERDICTED 2representative citing papers
A limiting case of the causal action principle in causal fermion systems yields QED Fock space dynamics via stochastic fluctuating fields and dephasing, while introducing holographic mixing.
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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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Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
A limiting case of the causal action principle in causal fermion systems yields QED Fock space dynamics via stochastic fluctuating fields and dephasing, while introducing holographic mixing.