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

Bros, Jacques; Epstein, Henri; Gaudin, Michel; Moschella, Ugo; Pasquier, Vincent

doi:10.1007/s00220-009-0875-4

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

Jacques Bros
(
- Saclay, SPhT
)
,
Henri Epstein
(
- IHES, Bures-sur-Yvette
)
,
Michel Gaudin
(
- Saclay
)
,
Ugo Moschella
(
- Insubria U., Como and
- INFN, Milan
)
,
Vincent Pasquier
(
- Saclay
)

2009

25 pages

Published in:

Commun.Math.Phys. 295 (2010) 261-288

e-Print:

0901.4223 [hep-th]

DOI:

10.1007/s00220-009-0875-4

View in:

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Abstract: (arXiv)

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.

n-point function: 3
space-time: de Sitter
scalar particle: stability
analytic properties
Klein-Gordon equation

References(14)

Figures(0)

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