Exact Renormalization Groups and Transportation of Measures

This note provides a new perspective on Polchinski’s exact renormalization group, by explaining how it gives rise, via the multiscale Bakry-Émery criterion, to Lipschitz transport maps between Gaussian free fields and interacting quantum and statistical field theories. Consequently, many functional...

Full description

Bibliographic Details
Main Author: Shenfeld, Yair
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2024
Subjects:
Online Access:https://hdl.handle.net/1721.1/153609