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Title

Uniqueness of the Fock representation of the Gowdy S1 × S2 and S3 models

AuthorsCortez, Jerónimo; Mena Marugán, Guillermo A. CSIC ORCID; Velhinho, José M.
Keywords[PACS] Quantum fields in curved spacetime
[PACS] Canonical quantization
[PACS] Quantum cosmology
Issue Date29-Apr-2008
PublisherInstitute of Physics Publishing
CitationClassical and Quantum Gravity 25 (10): 105005 (2008)
AbstractAfter a suitable gauge fixing, the local gravitational degrees of freedom of the Gowdy S1 × S2 and S3 cosmologies are encoded in an axisymmetric field on the sphere S2. Recently, it has been shown that a standard field parametrization of these reduced models admits no Fock quantization with a unitary dynamics. This lack of unitarity is surpassed by a convenient redefinition of the field and the choice of an adequate complex structure. The result is a Fock quantization where both the dynamics and the SO(3)-symmetries of the field equations are unitarily implemented. The present work proves that this Fock representation is in fact unique inasmuch as, up to equivalence, there exists no other possible choice of SO(3)-invariant complex structure leading to a unitary implementation of the time evolution.
Description7 pags.
Publisher version (URL)http://dx.doi.org/doi:10.1088/0264-9381/25/10/105005
URIhttp://hdl.handle.net/10261/16312
DOI10.1088/0264-9381/25/10/105005
ISSN0264-9381
Appears in Collections:(CFMAC-IEM) Artículos

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