Exact Renormalization Groups and Transportation of Measures
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23_2023_1351_ReferencePDF.pdf
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209.34 KB
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Author(s)
Shenfeld, Yair
Date Issued
August 14, 2023
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
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.
Subjects
Mathematical Physics
Nuclear and High Energy Physics
Statistical and Nonlinear Physics
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00023-023-01351-9
