Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition
Abstract
We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not contain an inverse vierbein. Under this postulate, only the spinor becomes a dynamical field, and no gravitational background field is introduced in the tree-level action. In this paper, after explaining the transformation rules of the local Lorentz and general-coordinate transformations in detail, a tree-level action is defined. We show that fermionic fluctuations can induce a nonvanishing gravitational background field.
Keywords
Cite
@article{arxiv.2309.16230,
title = {Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition},
author = {Yadikaer Maitiniyazi and Shinya Matsuzaki and Kin-ya Oda and Masatoshi Yamada},
journal= {arXiv preprint arXiv:2309.16230},
year = {2025}
}
Comments
51 pages, 3 figures, version published in PRD, a typo fixed in Eqs.(199), (200) and above them