General Relativity from Intersection Theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914933164212224 |
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| author | Frellesvig, Hjalte Teschke, Toni |
| author_facet | Frellesvig, Hjalte Teschke, Toni |
| contents | This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Minkowskian expansion, the intersection-based approach is of enhanced utility in that theory compared to a generic quantum field theory. In the language of intersection theory, Feynman integrals are rephrased in terms of twisted cocycles. The intersection number is a pairing between two such cocycles and its existence allows for the direct projection onto a basis of master integrals. In this paper we use this approach to compute the second post-Minkowskian contribution to the scattering of two compact astronomical objects, getting results in agreement with previous findings. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_11913 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General Relativity from Intersection Theory Frellesvig, Hjalte Teschke, Toni General Relativity and Quantum Cosmology High Energy Physics - Theory This paper combines the post-Minkowskian expansion of general relativity with the language of intersection theory. Because of the nature of the soft limit inherent to the post-Minkowskian expansion, the intersection-based approach is of enhanced utility in that theory compared to a generic quantum field theory. In the language of intersection theory, Feynman integrals are rephrased in terms of twisted cocycles. The intersection number is a pairing between two such cocycles and its existence allows for the direct projection onto a basis of master integrals. In this paper we use this approach to compute the second post-Minkowskian contribution to the scattering of two compact astronomical objects, getting results in agreement with previous findings. |
| title | General Relativity from Intersection Theory |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.11913 |