# From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity

@article{Giesel2012FromCT, title={From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity}, author={Kristina Giesel and H. Sahlmann}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2012} }

We present an introduction to the canonical quantization of gravity performed in loop quantum gravity, based on lectures held at the 3rd quantum geometry and quantum gravity school in Zakopane in 2011. A special feature of this introduction is the inclusion of new proposals for coupling matter to gravity that can be used to deparametrize the theory, thus making its dynamics more tractable. The classical and quantum aspects of these new proposals are explained alongside the standard quantization…

## 24 Citations

An elementary introduction to loop quantum gravity

- Physics
- 2016

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in…

A review on Loop Quantum Gravity

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- 2018

The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues. We will develop the two main lines of research for…

Cosmological effective Hamiltonian from full loop quantum gravity dynamics

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Towards the fundamental spectrum of the quantum Yang-Mills theory

- Physics
- 2016

In this work we focus on the quantum Einstein-Yang-Mills sector quantized by the methods of loop quantum gravity. We point out the improved UV behavior of the coupled system as compared to pure…

Loop quantum cosmology from an alternative Hamiltonian

- PhysicsPhysical Review D
- 2019

In this paper, a new Hamiltonian constraint operator for loop quantum cosmology is constructed by using the Chern-Simons action. The quantum dynamics of the $k=0$ cosmological model with respect to a…

Solvable model for quantum gravity?

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- 2013

We study a type of geometric theory with a non-dynamical 1-form field. Its dynamical variables are an su(2) gauge field and a triad of su(2) valued 1-forms. Hamiltonian decomposition reveals that the…

QFT on quantum spacetime: a compatible classical framework

- Physics
- 2013

(Dated: May 21, 2013)We develop a systematic classical framework to accommodate canonical quantization of geomet-ric and matter perturbations on a quantum homogeneous isotropic ﬂat spacetime. The…

Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term

- Physics
- 2020

The scheme of using the Chern-Simons action to regularize the gravitational Hamiltonian constraint is extended to including the Lorentzian term in the $k=0$ cosmological model. The Euclidean term and…

Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity

- Physics
- 2019

We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In particular, we give a…

Canonical Quantum Gravity, Constructive QFT, and Renormalisation

- PhysicsFrontiers in Physics
- 2020

The canonical approach to quantum gravity has been put on a firm mathematical foundation in the recent decades. Even the quantum dynamics can be rigorously defined, however, due to the tremendously…

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