Triangular invariants, three-point functions and particle stability on the de Sitter universe

Details Triangular invariants, three-point functions and particle stability on the de Sitter universe Triangular invariants, three-point functions and particle stability on the de Sitter universe

2009-01-27

arxiv.org/abs/0901.4223v1

Commun.Math.Phys.295:261-288,2010

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/s00220-009-0875-4

We study a class of three-point functions on the de Sitter universe and on the asymptotic cone. A blending of geometrical ideas and analytic methods is used to compute some remarkable integrals, on the basis of a generalized star-triangle identity living on the cone and on the complex de Sitter manifold. We discuss an application of the general results to the study of the stability of scalar particles on the Sitter universe.

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