The cosmological constant problem and the effective potential of a gravity-coupled scalar

Ferrero R, Percacci R (2024)


Publication Type: Journal article

Publication year: 2024

Journal

Book Volume: 2024

Article Number: 74

Journal Issue: 9

DOI: 10.1007/JHEP09(2024)074

Abstract

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 N on the modes of the quantum field, the radius is driven dynamically to infinity when N 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.

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APA:

Ferrero, R., & Percacci, R. (2024). The cosmological constant problem and the effective potential of a gravity-coupled scalar. Journal of High Energy Physics, 2024(9). https://doi.org/10.1007/JHEP09(2024)074

MLA:

Ferrero, Renata, and Roberto Percacci. "The cosmological constant problem and the effective potential of a gravity-coupled scalar." Journal of High Energy Physics 2024.9 (2024).

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