General Relativity from Intersection Theory

Autor:	Frellesvig, Hjalte, Teschke, Toni
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Zdroj:	Phys.Rev.D 110 (2024) 4, 044028
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.110.044028
Popis:	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. Comment: Ten pages, two figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.11913 Zobrazit plný text záznamu View this record from Arxiv