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Title

A uniqueness criterion for the Fock quantization of scalar fields with time-dependent mass

AuthorsCortez, Jerónimo; Mena Marugán, Guillermo A. ; Olmedo, Javier ; Velhinho, José M.
Issue Date2011
PublisherInstitute of Physics Publishing
CitationClassical and Quantum Gravity 28: 172001 (2011)
AbstractA major problem in the quantization of fields in curved spacetimes is the ambiguity in the choice of a Fock representation for the canonical commutation relations. There exists infinite number of choices leading to different physical predictions. In stationary scenarios, a common strategy is to select a vacuum (or a family of unitarily equivalent vacua) by requiring invariance under the spacetime symmetries. When stationarity is lost, a natural generalization consists in replacing time invariance by unitarity in the evolution. We prove that when the spatial sections are compact, the criterion of a unitary dynamics, together with the invariance under the spatial isometries, suffices to select a unique family of Fock quantizations for a scalar field with time-dependent mass. © 2011 IOP Publishing Ltd.
URIhttp://hdl.handle.net/10261/61980
DOI10.1088/0264-9381/28/17/172001
Identifiersdoi: 10.1088/0264-9381/28/17/172001
issn: 0264-9381
Appears in Collections:(CFMAC-IEM) Artículos
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