New variables for classical and quantum gravity in all dimensions: III. Quantum theory

Bodendorfer N, Thiemann T, Thurn A (2013)

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Classical and Quantum Gravity Institute of Physics: Hybrid Open Access

Publisher: IOP PUBLISHING LTD

Book Volume: 30

Journal Issue: 4

DOI: 10.1088/0264-9381/30/4/045003

Abstract

We quantize the new connection formulation of (D + 1)-dimensional general relativity developed in our companion papers by loop quantum gravity (LQG) methods. It turns out that all the tools prepared for LQG straightforwardly generalize to the new connection formulation in higher dimensions. The only new challenge is the simplicity constraint. While its 'diagonal' components acting at edges of spin-network functions are easily solved, its 'off-diagonal' components acting at vertices are non-trivial and require a more elaborate treatment.

Authors with CRIS profile

Norbert Bodendorfer Chair for Theoretical Physics III (Quantum Gravity) Thomas Thiemann Chair for Theoretical Physics III (Quantum Gravity) Andreas Thurn Chair for Theoretical Physics III (Quantum Gravity)

How to cite

APA:

Bodendorfer, N., Thiemann, T., & Thurn, A. (2013). New variables for classical and quantum gravity in all dimensions: III. Quantum theory. Classical and Quantum Gravity, 30(4). https://dx.doi.org/10.1088/0264-9381/30/4/045003

MLA:

Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "New variables for classical and quantum gravity in all dimensions: III. Quantum theory." Classical and Quantum Gravity 30.4 (2013).

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