Pathologies of dimension-zero scalar fields

Fuente: arXiv
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Auteurs principaux: Cline, James M., Hell, Anamaria
Format: Preprint
Publié: 2026
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author Cline, James M.
Hell, Anamaria
author_facet Cline, James M.
Hell, Anamaria
contents It has been claimed in a series of papers that scalar fields with a fourth-order Lagrangian $\sim(\Boxφ)^2$ can solve the cosmological constant problem by canceling the loop contributions from standard model fields, and that their fluctuations can be the source of the primordial density perturbations of the Universe, without the need for inflation. We dispute these claims. The spectrum of the theory includes a ghost, which leads to classical instabilities and quantum violation of unitarity. We show that the new scalar particles cannot cancel the standard model contributions to the cosmological constant, unless they include a unitarity-violating ghost at the quantum level. Further, the coupling of such scalars to the particles of the standard model induces a confining fifth force which rules it out as a source of density perturbations in the early Universe.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05683
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Pathologies of dimension-zero scalar fields
Cline, James M.
Hell, Anamaria
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
It has been claimed in a series of papers that scalar fields with a fourth-order Lagrangian $\sim(\Boxφ)^2$ can solve the cosmological constant problem by canceling the loop contributions from standard model fields, and that their fluctuations can be the source of the primordial density perturbations of the Universe, without the need for inflation. We dispute these claims. The spectrum of the theory includes a ghost, which leads to classical instabilities and quantum violation of unitarity. We show that the new scalar particles cannot cancel the standard model contributions to the cosmological constant, unless they include a unitarity-violating ghost at the quantum level. Further, the coupling of such scalars to the particles of the standard model induces a confining fifth force which rules it out as a source of density perturbations in the early Universe.
title Pathologies of dimension-zero scalar fields
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.05683