Interacting scalar fields in de Sitter space

Details Interacting scalar fields in de Sitter space Interacting scalar fields in de Sitter space

1995-04-17

arxiv.org/abs/gr-qc/9504024v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, Latex file, uses epsf.sty, 2 figures in a uufile. Revision of the infrared limit in the symmetric case. Conclusions

Scientific paper

We investigate the massless $\lambda \phi^4$ theory in de~Sitter space. It is unnatural to assume a minimally coupled interacting scalar field, since $\xi=0$ is not a fixed point of the renormalization group once interactions are included. In fact, the only case where perturbation theory can be trusted is when the field is non-minimally coupled at the minimum of the effective potential. Thus, in perturbation theory, there is no infrared divergence associated with this scalar field.

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