Unregulated divergences of Feynman integrals
Feynman integrals can be expanded asymptotically with respect to some small parameters at the integrand level, a technique known as the expansion by regions. A naive expansion by regions may break down due to divergences not regulated by the spacetime dimension, exemplified by the rapidity divergenc...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000590 |
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| author | Wen Chen |
| author_facet | Wen Chen |
| author_sort | Wen Chen |
| collection | DOAJ |
| description | Feynman integrals can be expanded asymptotically with respect to some small parameters at the integrand level, a technique known as the expansion by regions. A naive expansion by regions may break down due to divergences not regulated by the spacetime dimension, exemplified by the rapidity divergences. A criterion to identify unregulated divergences is provided in this article. The analysis is conducted using both parametric and Mellin-Barnes representations, leading to a consistent conclusion. Based on this analysis, it is proven that the presence of unregulated divergences implies the degeneracies of regions. |
| format | Article |
| id | doaj-art-d37f96ac14684c51af1a5004740bba59 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-d37f96ac14684c51af1a5004740bba592025-02-08T04:59:29ZengElsevierPhysics Letters B0370-26932025-03-01862139299Unregulated divergences of Feynman integralsWen Chen0Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China; Correspondence to: Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China.Feynman integrals can be expanded asymptotically with respect to some small parameters at the integrand level, a technique known as the expansion by regions. A naive expansion by regions may break down due to divergences not regulated by the spacetime dimension, exemplified by the rapidity divergences. A criterion to identify unregulated divergences is provided in this article. The analysis is conducted using both parametric and Mellin-Barnes representations, leading to a consistent conclusion. Based on this analysis, it is proven that the presence of unregulated divergences implies the degeneracies of regions.http://www.sciencedirect.com/science/article/pii/S0370269325000590 |
| spellingShingle | Wen Chen Unregulated divergences of Feynman integrals Physics Letters B |
| title | Unregulated divergences of Feynman integrals |
| title_full | Unregulated divergences of Feynman integrals |
| title_fullStr | Unregulated divergences of Feynman integrals |
| title_full_unstemmed | Unregulated divergences of Feynman integrals |
| title_short | Unregulated divergences of Feynman integrals |
| title_sort | unregulated divergences of feynman integrals |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000590 |
| work_keys_str_mv | AT wenchen unregulateddivergencesoffeynmanintegrals |