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Journal Article

Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension

MPS-Authors

Sahlmann,  Hanno
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Thiemann,  Thomas
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Winkler,  Oliver
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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(Preprint), 381KB

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Citation

Sahlmann, H., Thiemann, T., & Winkler, O. (2001). Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension. Nuclear Physics B, 606, 401-440.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-55EE-3
Abstract
We summarize a recently proposed concrete programme for investigating the (semi)classical limit of canonical, Lorentzian, continuum quantum general relativity in four spacetime dimensions. The analysis is based on a novel set of coherent states labelled by graphs. These fit neatly together with an Infinite Tensor Product (ITP) extension of the currently used Hilbert space. The ITP construction enables us to give rigorous meaning to the infinite volume (thermodynamic) limit of the theory which has been out of reach so far.