Particle Decays and Stability on the de Sitter Universe |
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Authors: | Jacques Bros Henri Epstein Ugo Moschella |
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Institution: | 1. Service de Physique théorique, CEA Saclay, 91191, Gif-sur Yvette, France 2. Institut des Hautes études Scientifiques, 91440, Bures-sur-Yvette, France 3. Università dell’Insubria, Como, Italy 4. INFN Milano, Milan, Italy
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Abstract: | We study particle decay in de Sitter space–time as given by first-order perturbation theory in a Lagrangian interacting quantum
field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the “phase space” coefficient
exactly in the case of two equal particles produced in the disintegration. We show that for fields with masses above a critical
mass m
c there is no such thing as particle stability, so that decays forbidden in flat space–time do occur here. The lifetime of
such a particle also turns out to be independent of its velocity when that lifetime is comparable with de Sitter radius. Particles
with mass lower than critical have a completely different behavior: the masses of their decay products must obey quantification
rules, and their lifetime is zero. |
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Keywords: | |
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