Wormhole interaction in 2d Horava-Lifshitz quantum gravity

TL;DR

This paper demonstrates that non-perturbative topology changes in 2d Horava-Lifshitz quantum gravity can be effectively modeled using a bi-local wormhole interaction within a lattice regularization framework.

Contribution

It introduces a simple bi-local wormhole interaction to incorporate non-perturbative topology effects in 2d HL gravity quantization.

Findings

Successfully accounts for non-perturbative sum over topologies

Models wormhole effects via bi-local interaction

Connects CDT and HL gravity frameworks

Abstract

A lattice regularization for the $2$d projectable Horava-Lifshitz (HL) quantum gravity is known to be the $2$d causal dynamical triangulations (CDT), and the $2$d CDT can be generalized so as to include all possible genus contributions non-perturbatively. We show that in the context of HL gravity, effects coming from such a non-perturbative sum over topologies can be successfully taken into account, if we quantize the $2$d projectable HL gravity with a simple bi-local wormhole interaction. This conference paper is based on the article, Phys. Lett. B 816 (2021), 136205.