English

CDT and Horava-Lifshitz QG in Two Dimensions

High Energy Physics - Theory 2025-06-02 v4 General Relativity and Quantum Cosmology High Energy Physics - Lattice

Abstract

The two-dimensional causal dynamical triangulations (22d CDT) is a lattice model of quantum geometry. In 22d 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 (22d projectable HL QG). In this chapter, we wish to review the very relation between 22d CDT and 22d projectable HL QG in detail.

Keywords

Cite

@article{arxiv.2212.03446,
  title  = {CDT and Horava-Lifshitz QG in Two Dimensions},
  author = {Yuki Sato},
  journal= {arXiv preprint arXiv:2212.03446},
  year   = {2025}
}

Comments

Invited chapter for the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023); v2: references added, typos corrected; v3: minor corrections; v4: typos fixed, grant reference added