State-Sum Models of Piecewise Linear Quantum Gravity

It describes a novel approach in the study of quantum gravity (QG) state-sum models, which is based on the application of the effective action method from quantum field theory. Related to that is a study of the effect of a non-trivial path-integral (PI) measure on the PI finiteness, as well as a study on the dependence of the semi-classical expansion of the effective action on the PI measure. Detailed study of the idea that the spacetime at small distances is not a smooth manifold but a piecewise linear (PL) manifold corresponding to a triangulation of a smooth manifold. One consequence of a QG theory on a PL spacetime is that the cosmological constant has a continuous spectrum, and the spectrum contains the observed value of the cosmological constant. A clear explanation of the relationship between a higher gauge theory and general relativity, and how new state-sum models of QG are then constructed. These new state-sum models are called spin-cube models, which are categorical generalizations of the spin-foam models, since one labels the edges, triangles and tetrahedra with representations of 2-groups, which are categorical generalizations of groups--

Author: Aleksandar Mikovic, Marko Vojinovic

Publisher: World Scientific Publishing Company

Publication Date: Jun 13, 2023

Number of Pages: NA pages

Language: English

Binding: Hardcover

ISBN-10: 9811269319

ISBN-13: 9789811269318