Effective potential for quantum scalar fields on a de Sitter geometry

Understand

We study the quantum theory of an O(N) scalar field on de Sitter geometry at leading order in a nonperturbative 1/N-expansion.

• This resums the infinite series of so-called superdaisy loop diagrams.
• We obtain the de Sitter symmetric solutions of the corresponding, properly renormalized, dynamical field equations and compute the complete effective potential.
• Because of its self-interactions, the field acquires a strictly positive square mass which screens potential infrared divergences.