Ferrero R (2024)
Publication Status: In review
Publication Type: Unpublished / Preprint
Future Publication Type: Journal article
Publication year: 2024
URI: https://arxiv.org/abs/2404.12357
We consider a quantum scalar field in a classical (Euclidean) De Sitter background, whose radius is fixed dynamically by Einstein's equations. In the case of a free scalar, it has been shown by Becker and Reuter that if one regulates the quantum effective action by putting a cutoff NN on the modes of the quantum field, the radius is driven dynamically to infinity when NN tends to infinity. We show that this result holds also in the case of a self-interacting scalar, both in the symmetric and broken-symmetry phase. Furthermore, when the gravitational background is put on shell, the quantum corrections to the mass and quartic self-coupling are found to be finite.
APA:
Ferrero, R. (2024). The cosmological constant problem and the effective potential of a gravity-coupled scalar. (Unpublished, In review).
MLA:
Ferrero, Renata. The cosmological constant problem and the effective potential of a gravity-coupled scalar. Unpublished, In review. 2024.
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