Tuning the cosmological constant, broken scale invariance, unitarity

We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the linearised level we find that the trace of metric perturbations rece...

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Veröffentlicht in:Journal of cosmology and astroparticle physics 2016-06, Vol.2016 (6), p.28-28, Article 028
Hauptverfasser: Förste, Stefan, Manz, Paul
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Manz, Paul
description We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the linearised level we find that the trace of metric perturbations receives a positive or negative mass squared contribution. However, only for the Fierz-Pauli combination the theory is free of ghosts. The mass term for the trace of metric perturbations can be cancelled by explicitly breaking scale invariance. This reintroduces fine-tuning. Models based on four form field strength show similarities with explicit scale symmetry breaking due to quantisation conditions.
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subjects CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COSMOLOGICAL CONSTANT
COSMOLOGY
FLUCTUATIONS
METRICS
MINKOWSKI SPACE
NEGATIVE MASS
NONLUMINOUS MATTER
PERTURBATION THEORY
QUANTIZATION
SCALE INVARIANCE
SYMMETRY BREAKING
UNITARITY
VACUUM STATES
title Tuning the cosmological constant, broken scale invariance, unitarity
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