Living with ghosts in Lorentz invariant theories
arXiv:1202.1239 · doi:10.1088/1475-7516/2013/01/036
Abstract
We argue that theories with ghosts may have a long lived vacuum state even if all interactions are Lorentz preserving. In space-time dimension D = 2, we consider the tree level decay rate of the vacuum into ghosts and ordinary particles mediated by non-derivative interactions, showing that this is finite and logarithmically growing in time. For D > 2, the decay rate is divergent unless we assume that the interaction between ordinary matter and the ghost sector is soft in the UV, so that it can be described in terms of non-local form factors rather than point-like vertices. We provide an example of a nonlocal gravitational-strength interaction between the two sectors, which appears to satisfy all observational constraints.
17 pages, comments and references added
References in corpus (6)
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- The Spectrum of the Isotropic Diffuse Gamma-Ray Emission Derived From First-Year Fermi Large Area Telescope Data
- GZK Neutrinos after the Fermi-LAT Diffuse Photon Flux Measurement
- The Lee-Wick Standard Model
- Cosmological Dark Energy: Prospects for a Dynamical Theory
- Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
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