2014
DOI: 10.1088/0143-0807/36/1/015009
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Classical and quantum ghosts

Abstract: The aim of these notes is to provide a self-contained review of why it is generically a problem when a solution of a theory possesses ghost fields among the perturbation modes. We define what a ghost field is and we show that its presence is associated to a classical instability whenever the ghost field interacts with standard fields. We then show that the instability is more severe at quantum level, and that perturbative ghosts can exist only in low energy effective theories. However, if we don't consider ver… Show more

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Cited by 85 publications
(87 citation statements)
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“…As explained in Ref. [39], only modes with positive energy are able to decouple, but not a ghost state since there is no positive energy necessary to excite a ghost (see also Ref. [40]).…”
Section: Consequences Of the Existence Of Ghostsmentioning
confidence: 97%
“…As explained in Ref. [39], only modes with positive energy are able to decouple, but not a ghost state since there is no positive energy necessary to excite a ghost (see also Ref. [40]).…”
Section: Consequences Of the Existence Of Ghostsmentioning
confidence: 97%
“…In the present study, we may infer that the DM particles undergo elastic scattering with scalar fields having negative kinetic term. It is well known that these fields suffer from instabilities at the classical and quantum levels [54,55] that casts doubts about their existence. Nevertheless, observationally such fields cannot be discarded, as we have also observed here.…”
Section: Resultsmentioning
confidence: 99%
“…And, even worse, this decay will practically happen instantaneously (see refs. [10,11] for more details). Such a theory cannot describe a stable vacuum and therefore has to be ruled out.…”
Section: Jhep11(2016)118mentioning
confidence: 99%
“…However, we are interested in the case in which the phase-space density of ghosts is negligible. 6 Even though a (non-tachyonic) ghost is usually recognized as a field with negative kinetic energy, its mass term does also carry an additional minus sign [11]. Since eq.…”
Section: Ghost Decaymentioning
confidence: 99%