Work

Generalized Causal Dynamical Triangulations in two dimensions

Year: 2012

Type: dissertation

Abstract: In this thesis we describe a generalization of two-dimensional Causal Dynamical Triangulations (CDT) that relaxes the time-layering condition and was introduced by Jordan. We present two closely related models which we call bubble generalized CDT (gCDT) and spiral gCDT and we set the first steps towards finding an analytical solution to both of the models.\nAfter reformulating the method of solving two-dimensional CDT analytically via the transfer matrices, we devise a similar approach for the bubble gCDT model. We perform the first calculations towards building several simplified versions of the model. \nWe then introduce the framework of matrix models in order to formulate the CDT matrix model that was introduced by Benedetti and Henson and present a generalization for spiral gCDT. We finish with a general discussion of other approaches to gCDT in two dimensions.

Source: Utrecht University Repository (Utrecht University)

Author: Renee S. Hoekzema

Institution: University of Oxford

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Institute of Arthritis and Musculoskeletal and Skin Diseases, U.S. National Library of Medicine

Awards: Elucidating the Role of the Genetic and Environmental Determinants of Preterm Birth Using Integrative Computational Approaches, RESOURCE-BASED CENTER FOR THE ADVANCEMENT OF PRECISION MEDICINE IN RHEUMATOLOGY

OpenAlex ID: W30052572

Cites: 32

Cited by: 2

Related to: 10