Deformation quantization of cosmological models

Abstract

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to cosmological models in the minisuperspace. The quantization procedure is performed explicitly for quantum cosmology in a flat minisuperspace. The de Sitter cosmological model is worked out in detail and the computation of the Wigner functions for the Hartle-Hawking, Vilenkin and Linde wave functions are done numerically. The Wigner function is analytically calculated for the Kantowski-Sachs model in (non)commutative quantum cosmology and for string cosmology with dilaton exponential potential. Finally, baby universes solutions are described in this context and the Wigner function is obtained.

37 pages, 16 figures

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Cited by in corpus (16)

• Holography from quantum cosmology
• Effects of deformed phase space on scalar field cosmology
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Deformed Phase Space Kaluza-Klein cosmology and late time acceleration
• Emergent classical universes from initial quantum states in a tomographical description
• Coherent representation of fields and deformation quantization
• The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation
• Ground-state Wigner functional of linearized gravitational field
• Deformation quantization of constrained systems: a group averaging approach
• Tomographic analysis of the De Sitter model in quantum and classical cosmology
• Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Born-Oppenheimer meets Wigner-Weyl in Quantum Gravity
• Classical Universe Arising from Quantum Cosmology
• Quantum Phase Space Description of a Cosmological Minimal Massive Bigravity Model
• (Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC