Work

Difference equations and integral families for Witten diagrams

Year: 2024

Type: article

Abstract: A bstract We show that tree-level and one-loop Mellin space correlators in anti-de Sitter space obey certain difference equations, which are the direct analog to the differential equations for Feynman loop integrals in the flat space. Finite-difference relations, which we refer to as “summation-by-parts relations”, in parallel with the integration-by-parts relations for Feynman loop integrals, are derived to reduce the integrals to a basis. We illustrate the general methodology by explicitly deriving the difference equations and summation-by-parts relations for various tree-level and one-loop Witten diagrams up to the four-point bubble level.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep12(2024)070

Authors: Mark Alaverdian, Aidan Herderschee, Radu Roiban, Fei Teng

Institutions: Pennsylvania State University, University of Michigan, Institute for Advanced Study

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: U.S. Department of Energy

Awards: DARK MATTER SEARCHES WITH THE LUX-ZEPLIN EXPERIMENT AT PENN STATE UNIVERSITY, G436094658