CDT and Horava-Lifshitz QG in Two Dimensions

TL;DR

This paper reviews the detailed relationship between two-dimensional causal dynamical triangulations (CDT), a lattice quantum geometry model, and two-dimensional projectable Horava-Lifshitz quantum gravity, emphasizing their analytical and continuum connections.

Contribution

It provides a comprehensive review of how 2d CDT relates to 2d projectable HL QG, clarifying their theoretical connection and continuum limit.

Findings

Analytical treatment of quantum effects in 2d CDT

Establishment of the continuum limit linking CDT and HL QG

Clarification of the relation between lattice models and continuum quantum gravity

Abstract

The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG). In this chapter, we wish to review the very relation between $2$d CDT and $2$d projectable HL QG in detail.