Causal Dynamical Triangulations with Toroidal Topology
A. Görlich · Acta Physica Polonica B Proceedings Supplement · 2017
Causal Dynamical Triangulations (CDT) is a background-independent approach to quantum gravity which provides a lattice regularization.In the case of spherical spatial topology, a universe with geometry of a four-sphere emerges dynamically in the so-called de Sitter phase.Imposing toroidal spatial topology changes this picture significantly and the average spatial volume profile becomes constant.Although no background geometry is put in by hand, the full quantum theory of CDT is able to identify a classical background geometry with superimposed quantum fluctuations.We determine the effective action for spatial volume by measuring the covariance matrix and show how to heal the problem of uniform volume profile.