The Tensor Track VIII: Stochastic Analysis

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 Léonard 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.

arXiv comment28 pages, 2 figures

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