Four lectures on Euler integrals
These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the diverse mathematical techniques involved in the study of...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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SciPost
2023-10-01
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| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.75 |
| _version_ | 1797648764456927232 |
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| author | Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen |
| author_facet | Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen |
| author_sort | Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen |
| collection | DOAJ |
| description | These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the diverse mathematical techniques involved in the study of Euler integrals, including polyhedral geometry, very affine varieties, differential equations, and computational algebra. |
| first_indexed | 2024-03-11T15:36:45Z |
| format | Article |
| id | doaj.art-f26035fb89d64fce871442078cc3e358 |
| institution | Directory Open Access Journal |
| issn | 2590-1990 |
| language | English |
| last_indexed | 2024-03-11T15:36:45Z |
| publishDate | 2023-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Lecture Notes |
| spelling | doaj.art-f26035fb89d64fce871442078cc3e3582023-10-26T17:05:40ZengSciPostSciPost Physics Lecture Notes2590-19902023-10-017510.21468/SciPostPhysLectNotes.75Four lectures on Euler integralsSaiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon TelenThese lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the diverse mathematical techniques involved in the study of Euler integrals, including polyhedral geometry, very affine varieties, differential equations, and computational algebra.https://scipost.org/SciPostPhysLectNotes.75 |
| spellingShingle | Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen Four lectures on Euler integrals SciPost Physics Lecture Notes |
| title | Four lectures on Euler integrals |
| title_full | Four lectures on Euler integrals |
| title_fullStr | Four lectures on Euler integrals |
| title_full_unstemmed | Four lectures on Euler integrals |
| title_short | Four lectures on Euler integrals |
| title_sort | four lectures on euler integrals |
| url | https://scipost.org/SciPostPhysLectNotes.75 |
| work_keys_str_mv | AT saieijaeyeongmatsubaraheosebastianmizerasimontelen fourlecturesoneulerintegrals |