close
Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
Review
. 1998;1(1):13.
doi: 10.12942/lrr-1998-13. Epub 1998 Dec 15.

Discrete Approaches to Quantum Gravity in Four Dimensions

Renate Loll  1
Affiliations
Review

Discrete Approaches to Quantum Gravity in Four Dimensions

Renate Loll. Living Rev Relativ. 1998.

Abstract

The construction of a consistent theory of quantum gravity is a problem in theoretical physics that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial quantum theory proceeds via a discretization of space-time and the Einstein action. I review here three major areas of research: gauge-theoretic approaches, both in a path-integral and a Hamiltonian formulation; quantum Regge calculus; and the method of dynamical triangulations, confining attention to work that is strictly four-dimensional, strictly discrete, and strictly quantum in nature.

PubMed Disclaimer

References

    1. Agishtein ME, Migdal AA. “Critical behavior of dynamically triangulated quantum gravity in four-dimensions”. Nucl. Phys. B. 1992;385:395–412. doi: 10.1016/0550-3213(92)90106-L. - DOI
    1. Agishtein ME, Migdal AA. “Simulations of four-dimensional simplicial quantum gravity as dynamical triangulation”. Mod. Phys. Lett. A. 1992;7:1039–1061. doi: 10.1142/S0217732392000938. - DOI
    1. Ambjørn J. “Quantum gravity represented as dynamical triangulations”. Class. Quantum Grav. 1995;12:2079–2134. doi: 10.1088/0264-9381/12/9/002. - DOI
    1. Ambjørn J. “Recent progress in the theory of random surfaces and simplicial quantum gravity”. Nucl. Phys. Proc. Suppl. 1995;42:3–16. doi: 10.1016/0920-5632(95)00181-8. - DOI
    1. Ambjørn J. “Quantization of geometry”. In: David F, Ginsparg P, Zinn-Justin J, editors. Fluctuating geometries in statistical mechanics and field theory (Les Houches Summer School, Session LXII, 1994) Amsterdam: Elsevier; 1996. pp. 77–193.

LinkOut - more resources