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Affine quantization of the Brans-Dicke theory: Smooth bouncing and the equivalence between the Einstein and Jordan frames

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  • E. Frion
  • C. R. Almeida
In this work, we present a complete analysis of the quantization of the classical Brans-Dicke theory using the method of affine quantization in the Hamiltonian description of the theory. The affine quantization method is based on the symmetry of the phase space of the system, in this case the (positive) half-plane, which is identified with the affine group. We consider a Friedmann-Lemaître-Robertson-Walker type spacetime, and since the scale factor is always positive, the affine method seems to be more suited than the canonical quantization for our quantum cosmology. We find the wave function of the Brans-Dicke universe and its energy spectrum. A smooth bounce is expected at the semiclassical level in the quantum phase-space portrait. We also address the problem of equivalence between the Jordan and Einstein frames.
Original languageEnglish
Article number023524
JournalPhysical Review D
DOIs
Publication statusPublished - 24 Jan 2019

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  • PhysRevD.99.023524

    Rights statement: E. Frion and C. R. Almeida. 'Affine quantization of the Brans-Dicke theory: Smooth bouncing and the equivalence between the Einstein and Jordan frames'. Physical Review D. 99, 023524. DOI: 10.1103/PhysRevD.99.023524. © 2019 American Physical Society. All rights reserved.

    Final published version, 703 KB, PDF document

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