Group averaging of massless scalar fields in 1 + 1 de Sitter

Perturbative gravity in global de Sitter space is subject to so-called linearization stability constraints: If they are to couple consistently to the gravitational field, quantum states must be invariant under the de Sitter isometries. While standard Fock spaces contain no de Sitter-invariant states...

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Published inClassical and quantum gravity Vol. 26; no. 3; pp. 035001 - 035001 (11)
Main Authors Marolf, Donald, Morrison, Ian A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 07.02.2009
Institute of Physics
Subjects
Exact sciences and technology
General relativity and gravitation
Physics
Invariant
Isometry
De Sitter metric
Fock space
Gravitational fields
Massless field
Hilbert space
Models
Scalar fields
Enumeration(counting)
Gravity
Linearization
Online AccessGet full text
ISSN0264-9381
1361-6382
DOI10.1088/0264-9381/26/3/035001

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Summary:Perturbative gravity in global de Sitter space is subject to so-called linearization stability constraints: If they are to couple consistently to the gravitational field, quantum states must be invariant under the de Sitter isometries. While standard Fock spaces contain no de Sitter-invariant states apart from (possibly) the vacuum, a full Hilbert space of de Sitter-invariant quantum states can be constructed via group averaging techniques. We re-examine the simple toy model of de Sitter group averaging given by the free 1+1 scalar field, expanding on an earlier analysis by Higuchi. Our purpose is twofold: to include the scalar zero mode, and to explicitly count the number of de Sitter-invariant states as a function of an appropriately defined energy.
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/26/3/035001