Quantum string cosmology in the phase space
Ruben Cordero, Erik Diaz, Hugo Garcia-Compean, Francisco J., Turrubiates
TL;DR
This paper applies deformation quantization to quantum string cosmology in a flat minisuperspace, deriving analytical solutions for the Wigner function of an axion-dilaton system in an FRW universe to extract physical insights.
Contribution
It introduces a deformation quantization approach to quantum string cosmology and provides explicit analytical solutions for the Wigner function in this context.
Findings
Analytical Wigner function expressed with Meijer's functions.
Quantization of axion-dilaton system in an isotropic FRW universe.
Extraction of physical information from the Wigner function.
Abstract
Deformation quantization is applied to quantize gravitational systems coupled with matter. This quantization procedure is performed explicitly for quantum cosmology of these systems in a flat minisuper(phase)space. The procedure is employed in a quantum string minisuperspace corresponding to an axion-dilaton system in an isotropic FRW Universe. The Wheeler-DeWitt-Moyal equation is obtained and its corresponding Wigner function is given analytically in terms of Meijer's functions. Finally, this Wigner functions is used to extract physical information of the system.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.