Work

Finite Spectral Recurrences for Loop Integrals in de Sitter and Anti-de Sitter Space

Year: 2026

Type: preprint

Abstract: We introduce a method that does for loop integrals in de Sitter and anti-de Sitter space what integration-by-parts identities do in flat space. A local, coordinate-free propagator algebra common to both geometries yields exact finite-difference equations in spectral labels; with external points they become differential-difference equations, and at the AdS boundary recover known Witten-diagram relations. Acting line by line, they apply in principle to any diagram. We solve them for the two-loop watermelon, isolating its ultraviolet poles, and for one-loop two- and four-point functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.28183

Authors: Bassett, Bruce A., Cacciatori, Sergio, Moschella, Ugo

Institutions: University of the Witwatersrand, Stellenbosch University, University of Insubria, Istituto Nazionale di Fisica Nucleare, Sezione di Milano

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223100869

Cites: 14

Cited by: 1

Related to: 10