Gravitational Action Versus Entropy on Simplicial Lattices in Four Dimensions

We investigate quantum gravity on simplicial lattices using Regge calculus with special emphasize on the problem of the unbounded action. The role of the entropy for the path integral is discussed in detail. Our numerical results show further evidence for the existence of an entropy dominated region...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 1992-11
Main Authors: Beirl, W, Gerstenmayer, E, Markum, H, Riedler, J
Format: Article
Language:English
Subjects:
Apexes
Calculus
Entropy
Lattices (mathematics)
Quantum gravity
Toruses
Triangulation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate quantum gravity on simplicial lattices using Regge calculus with special emphasize on the problem of the unbounded action. The role of the entropy for the path integral is discussed in detail. Our numerical results show further evidence for the existence of an entropy dominated region with well defined expectation values even for unbounded action. Analyses are performed both for the standard regular triangulation of the 4-torus and for irregularly triangulated lattices obtained by insertion of vertices using barycentric subdivision.
ISSN:2331-8422
DOI:10.48550/arxiv.9211044