Scattering theory for scalar field in de Sitter spacetime

Details Scattering theory for scalar field in de Sitter spacetime Scattering theory for scalar field in de Sitter spacetime

2008-04-23

arxiv.org/abs/0804.3718v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures

Scientific paper

The interaction theory between charged scalar field and electromagnetic field on de Sitter background is studied in the hypothesis of minimally coupling. Then the reduction rules for scalar field are established and further the theory of scattering for scalar field is constructed using perturbation theory. With these elements the scattering of a charged scalar field on Coulomb potential is studied. One obtains that in contrast with what happens on Minkowski case the modulus of momentum is not conserved in the scattering process on de Sitter space. After that we study the problem of calculating the cross section, pointing out a series of difficulties that arises.

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