Feynman integral relations from parametric annihilators
| العنوان: | Feynman integral relations from parametric annihilators |
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| المؤلفون: | René Pascal Klausen, Erik Panzer, Christian Bogner, Thomas Bitoun |
| المصدر: | Letters in Mathematical Physics. 109(3) |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mellin transform, Polynomial, Pure mathematics, 010308 nuclear & particles physics, FOS: Physical sciences, Statistical and Nonlinear Physics, Position and momentum space, Mathematical Physics (math-ph), 01 natural sciences, Momentum, symbols.namesake, High Energy Physics - Theory (hep-th), Euler characteristic, 0103 physical sciences, D-module, symbols, Integration by parts, 010306 general physics, Mathematical Physics, Parametric statistics |
| الوصف: | We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the momentum space IBP relations, which are well-known in the physics literature. Applying a result of Loeser and Sabbah, we conclude that the number of master integrals is computed by the Euler characteristic of the Lee-Pomeransky polynomial. We illustrate techniques to compute this Euler characteristic in various examples and compare it with numbers of master integrals obtained in previous works. Comment: v2: new section 3.1 added, several misprints corrected and additional remarks |
| تدمد: | 1573-0530 0377-9017 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a745b89b93ea9ef58a2189305a0665eTest http://ora.ox.ac.uk/objects/uuidTest: |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6a745b89b93ea9ef58a2189305a0665e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15730530 03779017 |
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