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.

Updated references

References in corpus (3)

• De Sitter Space and Eternity
• Infrared instability of the de Sitter space
• Fourier analysis and holomorphic decomposition on the one-sheeted hyperboloid

Cited by in corpus (6)

• Characters of different secular effects in various patches of de Sitter space
• Topological surprises in de Sitter QFT in two-dimensions
• Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
• Particle Creation in Global de Sitter Space: Bulk Space Consideration
• Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
• The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential