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

Abstract

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.

References in corpus (3)

• Lifetime of a massive particle in a de Sitter universe
• Conservation laws and scattering for de Sitter classical particles
• Fourier analysis and holomorphic decomposition on the one-sheeted hyperboloid

Cited by in corpus (40)

• Cosmological Collider Physics
• Tunnelling Methods and Hawking's radiation: achievements and prospects
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Lecture notes on interacting quantum fields in de Sitter space
• Quantum Gravity, Fakeons And Microcausality
• Loops in inflationary correlation functions
• Perturbative S-matrix for massive scalar fields in global de Sitter space
• Characters of different secular effects in various patches of de Sitter space
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• Particle decays and stability on the de Sitter universe
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Particle decay in de Sitter spacetime via quantum tunneling
• The Källén-Lehmann representation in de Sitter spacetime
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• On the Perturbative Stability of Quantum Field Theories in de Sitter Space
• On the Decay of Massive Fields in de Sitter
• Scalar tachyons in the de Sitter universe
• Classical radiation by free-falling charges in de Sitter spacetime
• Physical meaning and consequences of the loop IR divergences in global dS
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• De Sitter space and perpetuum mobile
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• The Effect of Gravitational Tidal Forces on Renormalized Quantum Fields
• Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
• The Effect of Gravitational Tidal Forces on Vacuum Polarization: How to Undress a Photon
• Superhorizon entanglement entropy from particle decay in inflation
• Unruh--DeWitt detectors in spherically symmetric dynamical space-times
• Thermodynamics and decay of de Sitter vacuum
• Applications of the Tunneling Method to Particle Decay and Radiation from Naked Singularities
• On the global temperature of the Schwarzschild-de Sitter spacetime
• Anti de Sitter quantum field theory and a new class of hypergeometric identities
• From black hole to white hole via the intermediate static state
• Fakeons, unitarity, massive gravitons and the cosmological constant
• Charged Loops at the Cosmological Collider with Chemical Potential
• Gauge dependence in QED amplitudes in expanding de Sitter space
• RG flows in de Sitter: c-functions and sum rules
• Wavepackets on de Sitter spacetime
• Gauge theories and quantum gravity in a finite interval of time, on a compact space manifold