Unitary evolution in Gowdy cosmology

Abstract

Recent results on the non-unitary character of quantum time evolution in the family of Gowdy T**3 spacetimes bring the question of whether one should renounce in cosmology to the most sacred principle of unitary evolution. In this work we show that the answer is in the negative. We put forward a full nonperturbative canonical quantization of the polarized Gowdy T**3 model that implements the dynamics while preserving unitarity. We discuss possible implications of this result.

5 pages, no figures. V2 discussion expanded, references added. Final version to appear in PRD

References in corpus (1)

• Feasibility of a Unitary Quantum Dynamics in the Gowdy $T^3$ Cosmological Model

Cited by in corpus (38)

• Introduction to Loop Quantum Cosmology
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Hybrid Quantization: From Bianchi I to the Gowdy Model
• Big Bounce and inhomogeneities
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• Quantum Gowdy $T^3$ model: A uniqueness result
• Quantum Gowdy $T^3$ model: A unitary description
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Quantization of Midisuperspace Models
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• A uniqueness criterion for the Fock quantization of scalar fields with time dependent mass
• Criteria for the determination of time dependent scalings in the Fock quantization of scalar fields with a time dependent mass in ultrastatic spacetimes
• Quantum Gowdy $T^3$ Model: Schrodinger Representation with Unitary Dynamics
• Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogenous perturbations
• Fock quantization of a scalar field with time dependent mass on the three-sphere: unitarity and uniqueness
• Hybrid Models in Loop Quantum Cosmology
• Uniqueness of the Fock quantization of fields with unitary dynamics in nonstationary spacetimes
• Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
• A unique Fock quantization for fields in non-stationary spacetimes
• Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time
• Loop quantization of the Gowdy model with local rotational symmetry
• Massless scalar field in de Sitter spacetime: unitary quantum time evolution
• Loop Quantization of Polarized Gowdy Model on $T^3$: Kinematical States and Constraint Operators
• Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory
• Dirac fields in flat FLRW cosmology: Uniqueness of the Fock quantization
• Uniqueness of the Fock quantization of a free scalar field on $S^1$ with time dependent mass
• Uniqueness of the Fock quantization of scalar fields in a Bianchi I cosmology with unitary dynamics
• Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• Approximation methods in Loop Quantum Cosmology: From Gowdy cosmologies to inhomogeneous models in Friedmann-Robertson-Walker geometries
• Unique Fock quantization of a massive fermion field in a cosmological scenario
• Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes
• Functional evolution of quantum cylindrical waves
• A Brief Overview of Results about Uniqueness of the Quantization in Cosmology
• Unitary evolution of free massless fields in de Sitter space-time
• Uniqueness Criteria for the Fock Quantization of Dirac Fields and Applications in Hybrid Loop Quantum Cosmology
• Inflation from inhomogeneous polarized Gowdy model