Renormalization group flows between Gaussian fixed points
Abstract A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form ϕ□ n ϕ. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous dimension changes continuously in such a way that at the endpoints the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)113 |
| _version_ | 1811249864810430464 |
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| author | Diego Buccio Roberto Percacci |
| author_facet | Diego Buccio Roberto Percacci |
| author_sort | Diego Buccio |
| collection | DOAJ |
| description | Abstract A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form ϕ□ n ϕ. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous dimension changes continuously in such a way that at the endpoints the fields have the correct dimensions of the respective free theories. These models exhibit various pathologies, but are nonetheless interesting as examples of theories that are asymptotically free both in the infrared and in the ultraviolet. Furthermore, they illustrate the fact that a diverging coupling can actually correspond to a free theory. |
| first_indexed | 2024-04-12T15:53:57Z |
| format | Article |
| id | doaj.art-5ecf8d03916e4760a47868a8818eb34c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T15:53:57Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5ecf8d03916e4760a47868a8818eb34c2022-12-22T03:26:25ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221012310.1007/JHEP10(2022)113Renormalization group flows between Gaussian fixed pointsDiego Buccio0Roberto Percacci1SISSA, International School for Advanced StudiesSISSA, International School for Advanced StudiesAbstract A scalar theory can have many Gaussian (free) fixed points, corresponding to Lagrangians of the form ϕ□ n ϕ. We use the non-perturbative RG to study examples of flows between such fixed points. We show that the anomalous dimension changes continuously in such a way that at the endpoints the fields have the correct dimensions of the respective free theories. These models exhibit various pathologies, but are nonetheless interesting as examples of theories that are asymptotically free both in the infrared and in the ultraviolet. Furthermore, they illustrate the fact that a diverging coupling can actually correspond to a free theory.https://doi.org/10.1007/JHEP10(2022)113Renormalization GroupScale and Conformal Symmetries |
| spellingShingle | Diego Buccio Roberto Percacci Renormalization group flows between Gaussian fixed points Journal of High Energy Physics Renormalization Group Scale and Conformal Symmetries |
| title | Renormalization group flows between Gaussian fixed points |
| title_full | Renormalization group flows between Gaussian fixed points |
| title_fullStr | Renormalization group flows between Gaussian fixed points |
| title_full_unstemmed | Renormalization group flows between Gaussian fixed points |
| title_short | Renormalization group flows between Gaussian fixed points |
| title_sort | renormalization group flows between gaussian fixed points |
| topic | Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP10(2022)113 |
| work_keys_str_mv | AT diegobuccio renormalizationgroupflowsbetweengaussianfixedpoints AT robertopercacci renormalizationgroupflowsbetweengaussianfixedpoints |