Particle decays and stability on the de Sitter universe

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.

Latex, 38 pages, 1 PostScript figure; added references, minor corrections and remarks

References in corpus (5)

• De Sitter Space and Eternity
• Renormalized Quantum Yang-Mills Fields in Curved Spacetime
• Lifetime of a massive particle in a de Sitter universe
• Triangular invariants, three-point functions and particle stability on the de Sitter universe
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

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