Exact Renormalization Groups and Transportation of Measures

Author(s)
Shenfeld, Yair
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Abstract
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 inequalities can be verified for the latter field theories, going beyond the current known results.
Date issued
2023-08-14
URI
https://hdl.handle.net/1721.1/153609
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer Science and Business Media LLC
Citation
Shenfeld, Y. Exact Renormalization Groups and Transportation of Measures. Ann. Henri Poincaré 25, 1897–1910 (2024).
Version: Author's final manuscript
ISSN
1424-0637
1424-0661
Keywords
Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
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