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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Science and Business Media LLC
2024
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/1721.1/153609 |
| _version_ | 1826202912428130304 |
|---|---|
| author | Shenfeld, Yair |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Shenfeld, Yair |
| author_sort | Shenfeld, Yair |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:26:09Z |
| format | Article |
| id | mit-1721.1/153609 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:21:27Z |
| publishDate | 2024 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1536092025-01-04T05:19:19Z Exact Renormalization Groups and Transportation of Measures Shenfeld, Yair Massachusetts Institute of Technology. Department of Mathematics Mathematical Physics Nuclear and High Energy Physics Statistical and Nonlinear Physics 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. 2024-02-29T14:46:27Z 2024-02-29T14:46:27Z 2023-08-14 2024-02-29T04:28:00Z Article http://purl.org/eprint/type/JournalArticle 1424-0637 1424-0661 https://hdl.handle.net/1721.1/153609 Shenfeld, Y. Exact Renormalization Groups and Transportation of Measures. Ann. Henri Poincaré 25, 1897–1910 (2024). en 10.1007/s00023-023-01351-9 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. Springer Nature Switzerland AG application/pdf Springer Science and Business Media LLC Springer International Publishing |
| spellingShingle | Mathematical Physics Nuclear and High Energy Physics Statistical and Nonlinear Physics Shenfeld, Yair Exact Renormalization Groups and Transportation of Measures |
| title | Exact Renormalization Groups and Transportation of Measures |
| title_full | Exact Renormalization Groups and Transportation of Measures |
| title_fullStr | Exact Renormalization Groups and Transportation of Measures |
| title_full_unstemmed | Exact Renormalization Groups and Transportation of Measures |
| title_short | Exact Renormalization Groups and Transportation of Measures |
| title_sort | exact renormalization groups and transportation of measures |
| topic | Mathematical Physics Nuclear and High Energy Physics Statistical and Nonlinear Physics |
| url | https://hdl.handle.net/1721.1/153609 |
| work_keys_str_mv | AT shenfeldyair exactrenormalizationgroupsandtransportationofmeasures |