Vacuum energy in the effective field theory of general relativity with a scalar field

Fuente: arXiv
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Autori principali: Epelbaum, E., Gegelia, J., Meißner, Ulf-G., Neuhaus, L.
Natura: Preprint
Pubblicazione: 2024
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author Epelbaum, E.
Gegelia, J.
Meißner, Ulf-G.
Neuhaus, L.
author_facet Epelbaum, E.
Gegelia, J.
Meißner, Ulf-G.
Neuhaus, L.
contents A consistency condition of general relativity as an effective field theory in Minkowskian background uniquely fixes the value of the cosmological constant. In two-loop calculations, including the interaction of gravitons with matter fields, it has been shown that this value of the cosmological constant leads to vanishing vacuum energy, under the assumption that the energy-momentum tensor of the gravitational field is given by the pseudotensor of Landau-Lifshitz's classic textbook. Here, we demonstrate that this result also holds when the self-interaction of a scalar field is taken into account. That is, our two-loop-order calculation suggests that in an effective field theory of metric and scalar fields, one arrives at a consistent theory with massless gravitons if the cosmological constant is fixed from the condition of vanishing vacuum energy. Vice versa, imposing the consistency condition in Minkowskian background leads to a vanishing vacuum energy.
format Preprint
id arxiv_https___arxiv_org_abs_2405_09301
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Vacuum energy in the effective field theory of general relativity with a scalar field
Epelbaum, E.
Gegelia, J.
Meißner, Ulf-G.
Neuhaus, L.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
A consistency condition of general relativity as an effective field theory in Minkowskian background uniquely fixes the value of the cosmological constant. In two-loop calculations, including the interaction of gravitons with matter fields, it has been shown that this value of the cosmological constant leads to vanishing vacuum energy, under the assumption that the energy-momentum tensor of the gravitational field is given by the pseudotensor of Landau-Lifshitz's classic textbook. Here, we demonstrate that this result also holds when the self-interaction of a scalar field is taken into account. That is, our two-loop-order calculation suggests that in an effective field theory of metric and scalar fields, one arrives at a consistent theory with massless gravitons if the cosmological constant is fixed from the condition of vanishing vacuum energy. Vice versa, imposing the consistency condition in Minkowskian background leads to a vanishing vacuum energy.
title Vacuum energy in the effective field theory of general relativity with a scalar field
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.09301