English

The Tensor Track VIII: Stochastic Analysis

Mathematical Physics 2025-06-23 v1 math.MP

Abstract

Assuming some familiarity with quantum field theory and with the tensor track approach that we presented in the previous series Tensor Track I-VII, we provide, as usual, the developments in tensors models of the last two years. Then we expose the fundamental breakthrough of Martin Hairer on regularity structures and the work of L\'eonard Ferdinand on stochastic analysis applied to super-renormalizable tensor field theories. We conclude with the hope that this work could be extended to just-renormalizable and asymptotically free models.

Cite

@article{arxiv.2403.03619,
  title  = {The Tensor Track VIII: Stochastic Analysis},
  author = {V. Rivasseau},
  journal= {arXiv preprint arXiv:2403.03619},
  year   = {2025}
}

Comments

28 pages, 2 figures

R2 v1 2026-06-28T15:10:50.408Z