CDT without preferred foliation

          @misc{ pirsa_PIRSA:13050082,
            doi = {10.48660/13050082},
            url = {https://pirsa.org/13050082},
            author = {Jordan, Samo},
            keywords = {Quantum Gravity},
            language = {en},
            title = {CDT without preferred foliation},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {may},
            note = {PIRSA:13050082 see, \url{https://pirsa.org}}
          }
          

Abstract

Causal dynamical triangulations (CDT) define a nonperturbative path integral for quantum gravity as a sum over triangulations. Causality is enforced on the kinematical level by means of a preferred
foliation.

In this talk I present a new model of dynamical triangulations based on Lorentzian building blocks, where the triangulations in general do not have such a preferred foliation. The essential ingredients of the new model are a local causality constraint and a consistency condition on the global flow of time. After a compact review on CDT I discuss the theoretical aspects of the new model in 1+1 and 2+1 dimensions, followed by a presentation of numerical results in 2+1 dimensions. These results show that the new model and CDT have similar long-distance properties in 2+1 dimensions.