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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2412.01848 |
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| _version_ | 1866912141574930432 |
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| author | Kappl, Patrick Ribic, Tin Kauch, Anna Held, Karsten |
| author_facet | Kappl, Patrick Ribic, Tin Kauch, Anna Held, Karsten |
| contents | We generalize the three two-particle Bethe-Salpeter equations to ten three-particle ladders. These equations are exact and yield the exact three-particle vertex, if we knew the three-particle vertex irreducible in one of the ten channels. However, as we do not have this three-particle irreducible vertex at hand, we approximate this building block for the ladder by the sum of two-particle irreducible vertices each connecting two fermionic lines. The comparison to the exact solution shows that this approximation is only good for rather weak interactions and even than only qualitatively - at least for the non-linear response function analyzed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01848 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ladder equation for the three-particle vertex and its approximate solution Kappl, Patrick Ribic, Tin Kauch, Anna Held, Karsten Other Condensed Matter Nuclear Theory We generalize the three two-particle Bethe-Salpeter equations to ten three-particle ladders. These equations are exact and yield the exact three-particle vertex, if we knew the three-particle vertex irreducible in one of the ten channels. However, as we do not have this three-particle irreducible vertex at hand, we approximate this building block for the ladder by the sum of two-particle irreducible vertices each connecting two fermionic lines. The comparison to the exact solution shows that this approximation is only good for rather weak interactions and even than only qualitatively - at least for the non-linear response function analyzed. |
| title | Ladder equation for the three-particle vertex and its approximate solution |
| topic | Other Condensed Matter Nuclear Theory |
| url | https://arxiv.org/abs/2412.01848 |