Annihilation of the scalar pair into a photon on de Sitter spacetime
arXiv:1505.04290 · doi:10.1142/S0217751X16500810
Abstract
The annihilation of massive scalar particles in one photon on de Sitter expanding universe is studied, using perturbation theory. The amplitude and probability corresponding to this process is computed using the exact solutions of the Klein-Gordon and Maxwell equations on de Sitter geometry. Our results show that the expression of the total probability of photon emission is a function dependent on the ratio mass/expansion\, factor. We perform a graphical study of the total probability in terms of the parameter mass/expansion factor, showing that this effect is significant only in strong gravitational fields. We also obtain that the total probability for this process vanishes in the Minkowski limit.
11 pages, 3 figures
References in corpus (8)
- The IR stability of de Sitter: Loop corrections to scalar propagators
- Lecture notes on interacting quantum fields in de Sitter space
- The quantum theory of scalar fields on the de Sitter expanding universe
- Production of scalar particles in electric field on de Sitter expanding Universe
- Interaction between Maxwell field and charged scalar field in de Sitter universe
- Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
- Coulomb scattering of the Dirac field on de Sitter expanding universe
- Coulomb scattering for scalar field in Scr\" odinger picture