State-sum models of piecewise linear quantum gravity

• Verfasst von: Miković, Aleksandar [VerfasserIn]
• Verfasst von: Vojinović, Marko [VerfasserIn]
• Titel: State-sum models of piecewise linear quantum gravity
• Verf.angabe: Aleksandar Miković (Lusófona University, Portugal), Marko Vojinović (University of Belgrade, Serbia)
• Verlagsort: New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
• Verlag: World Scientific
• E-Jahr: 2023
• Jahr: [2023]
• Umfang: 1 Online-Ressource (ix, 173 Seiten)
• Fussnoten: Includes bibliographical references
• ISBN: 978-981-12-6932-5
• ISBN: 978-981-12-6933-2
• DOI: doi:10.1142/13233
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Miković, Aleksandar: State-sum models of piecewise linear quantum gravity. - New Jersey : World Scientific, 2023. - ix,173 pages
• K10plus-PPN: 185266598X
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

"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"--