Reconstruction of rational functions made simple
We present a new method for the reconstruction of rational functions through finite-fields sampling that can significantly reduce the number of samples required. The method works by exploiting all the independent linear relations among target functions. Subsequently, the explicit solutions of the fu...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324000492 |
| _version_ | 1827318663991001088 |
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| author | Xiao Liu |
| author_facet | Xiao Liu |
| author_sort | Xiao Liu |
| collection | DOAJ |
| description | We present a new method for the reconstruction of rational functions through finite-fields sampling that can significantly reduce the number of samples required. The method works by exploiting all the independent linear relations among target functions. Subsequently, the explicit solutions of the functions can be efficiently obtained by solving the linear system. As a first application, we utilize the method to address various examples within the context of Feynman integrals reduction. These examples demonstrate that our method can substantially improve the computational efficiency, making it useful for future computations in particle physics. |
| first_indexed | 2024-03-08T06:56:46Z |
| format | Article |
| id | doaj.art-4a6410f846924354998cecfcd57f893e |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-25T00:05:45Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-4a6410f846924354998cecfcd57f893e2024-03-14T06:13:11ZengElsevierPhysics Letters B0370-26932024-03-01850138491Reconstruction of rational functions made simpleXiao Liu0Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UKWe present a new method for the reconstruction of rational functions through finite-fields sampling that can significantly reduce the number of samples required. The method works by exploiting all the independent linear relations among target functions. Subsequently, the explicit solutions of the functions can be efficiently obtained by solving the linear system. As a first application, we utilize the method to address various examples within the context of Feynman integrals reduction. These examples demonstrate that our method can substantially improve the computational efficiency, making it useful for future computations in particle physics.http://www.sciencedirect.com/science/article/pii/S0370269324000492 |
| spellingShingle | Xiao Liu Reconstruction of rational functions made simple Physics Letters B |
| title | Reconstruction of rational functions made simple |
| title_full | Reconstruction of rational functions made simple |
| title_fullStr | Reconstruction of rational functions made simple |
| title_full_unstemmed | Reconstruction of rational functions made simple |
| title_short | Reconstruction of rational functions made simple |
| title_sort | reconstruction of rational functions made simple |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324000492 |
| work_keys_str_mv | AT xiaoliu reconstructionofrationalfunctionsmadesimple |