Space-Time Foliation in Quantum Gravity electronic resource by Yuki Sato.
Material type: TextSeries: Springer Theses, Recognizing Outstanding Ph.D. ResearchPublication details: Tokyo : Springer Japan : Imprint: Springer, 2014Description: XIII, 100 p. 16 illus., 12 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9784431549475Subject(s): physics | Mathematical physics | Physics | Classical and Quantum Gravitation, Relativity Theory | Mathematical Methods in Physics | Mathematical PhysicsDDC classification: 530.1 LOC classification: QC178QC173.5-173.65Online resources: Click here to access onlineIntroduction -- Causal Dynamical Triangulation -- n-DBI Gravity -- Summary -- Appendices.
In this thesis, the author considers quantum gravity to investigate the mysterious origin of our universe and its mechanisms. He and his collaborators have greatly improved the analyticity of two models: causal dynamical triangulations (CDT) and n-DBI gravity, with the space-time foliation which is one common factor shared by these two separate models. In the first part, the analytic method of coupling matters to CDT in 2-dimensional toy models is proposed to uncover the underlying mechanisms of the universe and to remove ambiguities remaining in CDT. As a result, the wave function of the 2-dimensional universe where matters are coupled is derived. The behavior of the wave function reveals that the Hausdorff dimension can be changed when the matter is non-unitary. In the second part, the n-DBI gravity model is considered. The author mainly investigates two effects driven by the space-time foliation: the appearance of a new conserved charge in black holes and an extra scalar mode of the graviton. The former implies a breakdown of the black-hole uniqueness theorem while the latter does not show any pathological behavior.
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