# Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity

@article{Thiemann1996AnomalyfreeFO, title={Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity}, author={Thomas Thiemann}, journal={Physics Letters B}, year={1996}, volume={380}, pages={257-264} }

## 276 Citations

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The Hamiltonian constraint is the key element of the canonical formulation of LQG coding its dynamics. In Ashtekar-Barbero variables it naturally splits into the so called Euclidean and Lorentzian…

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The newly found conformal decomposition in canonical general relativity is applied to drastically simplify the recently formulated parameter-free construction of spin-gauge variables for gravity. The…

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It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague…

Ja n 20 02 String theory in a vertex operator representation : a simple model for testing loop quantum gravity

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- 2008

The loop quantum gravity technique is applied to the free bosonic string. A Hilbert space similar to loop space in loop quantum gravity as well as representations of diffeomorphism and hamiltonian…

Quantum spin dynamics (QSD) V: Quantum Gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories

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It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague…

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Recently the master constraint programme (MCP) for loop quantum gravity (LQG) was launched which replaces the infinite number of Hamiltonian constraints by a single master constraint. The MCP is…

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