de Sitter tachyons and related topics

Abstract

We present a complete study of a family of tachyonic scalar fields living on the de Sitter universe. We show that for an infinite set of discrete values of the negative squared mass the fields exhibit a gauge symmetry and there exists for them a fully acceptable local and covariant quantization similar to the Feynman-Gupta-Bleuler quantization of free QED. For general negative squares masses we also construct positive quantization where the de Sitter symmetry is spontaneously broken. We discuss the sense in which the two quantizations may be considered physically inequivalent even when there is a Lorentz invariant subspace in the second one.

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Cited by in corpus (24)

• Characters of different secular effects in various patches of de Sitter space
• Shift Symmetries in (Anti) de Sitter Space
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• The Källén-Lehmann representation in de Sitter spacetime
• Quantum fields in the static de Sitter universe
• A Compendium of Sphere Path Integrals
• Global existence of the self-interacting scalar field in the de Sitter universe
• Topological surprises in de Sitter QFT in two-dimensions
• The Cauchy problem for the Klein-Gordon equation under the quartic potential in the de Sitter spacetime
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence
• Waves in the Witten Bubble of Nothing and the Hawking Wormhole
• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$
• QFT and topology in two dimensions: $SL(2,\mathbb{R})$-symmetry and the de Sitter universe
• The global existence of small self-interacting scalar field propagating in the contracting universe
• Particle Creation in Global de Sitter Space: Bulk Space Consideration
• RG flows in de Sitter: c-functions and sum rules
• Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
• Waves in cosmological background with static Schwarzschild radius in the expanding universe
• Real-time observables in de Sitter thermodynamics
• A misleading naming convention: de Sitter `tachyonic' scalar fields
• The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential