Quartic Gradient Flow
Saddle-point configurations, such as the Euclidean bounce and sphalerons, are known to be difficult to find numerically. In this letter we study a new method, Quartic Gradient Flow, to search for such configurations. The central idea is to introduce a gradient-flow-like equation in such a way that a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323007748 |
| _version_ | 1797324383929237504 |
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| author | Muzi Hong Ryusuke Jinno |
| author_facet | Muzi Hong Ryusuke Jinno |
| author_sort | Muzi Hong |
| collection | DOAJ |
| description | Saddle-point configurations, such as the Euclidean bounce and sphalerons, are known to be difficult to find numerically. In this letter we study a new method, Quartic Gradient Flow, to search for such configurations. The central idea is to introduce a gradient-flow-like equation in such a way that all the fluctuations around the saddle-point have eigenvalues that are square of the eigenvalues of the original quadratic operator. We illustrate how the method works for the Euclidean bounce and sphalerons. |
| first_indexed | 2024-03-08T05:55:21Z |
| format | Article |
| id | doaj.art-1a0acab6bf9c4658951b6274321ca16f |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-08T05:55:21Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-1a0acab6bf9c4658951b6274321ca16f2024-02-05T04:29:22ZengElsevierPhysics Letters B0370-26932024-02-01849138441Quartic Gradient FlowMuzi Hong0Ryusuke Jinno1Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan; Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan; Corresponding author.Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, JapanSaddle-point configurations, such as the Euclidean bounce and sphalerons, are known to be difficult to find numerically. In this letter we study a new method, Quartic Gradient Flow, to search for such configurations. The central idea is to introduce a gradient-flow-like equation in such a way that all the fluctuations around the saddle-point have eigenvalues that are square of the eigenvalues of the original quadratic operator. We illustrate how the method works for the Euclidean bounce and sphalerons.http://www.sciencedirect.com/science/article/pii/S0370269323007748 |
| spellingShingle | Muzi Hong Ryusuke Jinno Quartic Gradient Flow Physics Letters B |
| title | Quartic Gradient Flow |
| title_full | Quartic Gradient Flow |
| title_fullStr | Quartic Gradient Flow |
| title_full_unstemmed | Quartic Gradient Flow |
| title_short | Quartic Gradient Flow |
| title_sort | quartic gradient flow |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323007748 |
| work_keys_str_mv | AT muzihong quarticgradientflow AT ryusukejinno quarticgradientflow |