Hybrid quantum Gowdy cosmology: Combining loop and Fock quantizations

By M. Martín-Benito, L. Garay, G. A. M. Marugán. 2008

134 citations recorded by the source corpus.

We quantize an inhomogeneous cosmological model using techniques that include polymeric quantization. More explicitly, we construct well-defined operators to represent the constraints and find the physical Hilbert space formed by their solutions, which reproduces the conventional Fock quantization for the inhomogeneities. The initial singularity is resolved in this inhomogeneous model in an extremely simple way and without imposing special boundary conditions, thus ensuring the robustness and generality of this resolution. Furthermore, this quantization constitutes a well-founded step towards the extraction of physical results and consequences from loop quantum cosmology, given the central role of the inhomogeneities in modern cosmology.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4b553a0dd8488ba71985cf06b318a418683f4076

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Citations in the corpus

The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations (2012, methodology): “[36] M.”
Loop quantum cosmology of Bianchi I models (2009, background): “) Finally, recent investigations [23, 24] of Gowdy models, which have an infinite number of degrees of freedom, also indicate that the big-bang is replaced by a quantum bounce.”
Loop quantum cosmology: an overview (2008, background): “group [ 44 ] and more recent analysis of effective equations by Singh [59] suggests that the situation may be similar with singularity resolution of LQC.”
Loop quantum cosmology: a status report (2011, methodology): “By contrast, thanks to quantum geometry underlying LQC, the singularity has now been resolved both in the vacuum case and in the case when there is a massless scalar field [4–8].”
Introduction to Loop Quantum Cosmology (2011, background): “2) [104, 141, 151], and another adopting the improved Ansatz (4.”
Extension of the quantum theory of cosmological perturbations to the Planck era (2012, methodology): “The last example, Gowdy models, [25–29] illustrate our strategy most closely because now the truncated phase space ΓGowdy is an infinite dimensional subspace of Γ: the model allows for inhomogeneities induced by a class of (fully non-linear) gravitational waves, in addition to those in the matter fi”