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Dear Quantizers, Stochastic ≈ Brane
Abstract
Stochastic quantization formulates d-dimensional Euclidean QFT as the equilibrium limit of a (d+1)-dimensional Langevin system. Using the supersymmetric formulation of stochastic systems, we apply techniques from Morse theory to study Langevin dynamics. We interpret stochastic quantization as the absolutization of a relative QFT by a bulk cohomological topological Equilibrium TFT ("EqmTFT"), and relate its enriched Neumann boundary data to the d-dimensional BV/BRST complex. Analytic continuation reveals connections to the A-model and non-relativistic and Carrollian limits.
Related
BibTeX
@misc{kulp2026dear,
title = {{Dear Quantizers, Stochastic $\approx$ Brane}},
author = {Justin Kulp},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.38209},
eprint = {2609.38209},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.38209},
}
RIS
TY - UNPB
TI - Dear Quantizers, Stochastic ≈ Brane
AU - Justin Kulp
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.38209
UR - https://arxiv.org/abs/2609.38209
AB - Stochastic quantization formulates d-dimensional Euclidean QFT as the equilibrium limit of a (d+1)-dimensional Langevin system. Using the supersymmetric formulation of stochastic systems, we apply techniques from Morse theory to study Langevin dynamics. We interpret stochastic quantization as the absolutization of a relative QFT by a bulk cohomological topological Equilibrium TFT ("EqmTFT"), and relate its enriched Neumann boundary data to the d-dimensional BV/BRST complex. Analytic continuation reveals connections to the A-model and non-relativistic and Carrollian limits.
ER -