Two novel proofs establish equivalence between path integral and stochastic quantizations for scalar Euclidean QFTs via forest-indexed Taylor interpolations.
Renormalization: an advanced overview
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abstract
We present several approaches to renormalization in QFT: the multi-scale analysis in perturbative renormalization, the functional methods \`a la Wetterich equation, and the loop-vertex expansion in non-perturbative renormalization. While each of these is quite well-established, they go beyond standard QFT textbook material, and may be little-known to specialists of each other approach. This review is aimed at bridging this gap.
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Cumulants up to finite order in the T3^4 tensor model are constructed via multi-scale loop vertex expansion and proven analytic and Borel summable.
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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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Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model
Cumulants up to finite order in the T3^4 tensor model are constructed via multi-scale loop vertex expansion and proven analytic and Borel summable.