## e-books in Quantum Gravity category

**An Elementary Introduction to Loop Quantum Gravity**

by

**Norbert Bodendorfer**-

**arXiv**,

**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 five lectures, including exercises.

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**1438**views)

**Generally Covariant Quantum Theory**

by

**Johan Noldus**-

**viXra**,

**2016**

The intention of this book is to dig deep in the first principles of physics and develop a relativistic quantum theory from scratch. By this, I mean a theory for the so-called elementary particles which constitute building blocks of nature ...

(

**845**views)

**Quantum Einstein Gravity**

by

**Martin Reuter, Frank Saueressig**-

**arXiv**,

**2012**

We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the field.

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**4132**views)

**The Spin Foam Approach to Quantum Gravity**

by

**Alejandro Perez**-

**arXiv**,

**2012**

This article reviews the present status of the spin foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently introduced new models for four dimensional quantum gravity.

(

**2574**views)

**Singularities and Quantum Gravity**

by

**Martin Bojowald**-

**arXiv**,

**2007**

An overview of the current status of singularities in classical and quantum gravity, starting with the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems ...

(

**3894**views)

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

by

**Kristina Giesel, Hanno Sahlmann**-

**arXiv**,

**2012**

An introduction to the canonical quantization of gravity performed in loop quantum gravity. 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.

(

**4135**views)

**Quantum Gravity**

by

**Rodrigo Sobreiro**-

**InTech**,

**2012**

This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity.

(

**4078**views)

**Emergent Models for Gravity: an overview**

by

**L. Sindoni**-

**arXiv**,

**2011**

An overview of attempts to describe gravity as an emergent phenomenon, starting from condensed matter physics to more sophisticated pregeometric models. The common line of thought is to view the graviton as a composite particle/collective moode.

(

**3900**views)

**Quantum Physics, Relativity, and Complex Spacetime**

by

**Gerald Kaiser**-

**University of Massachusetts at Lowell**,

**2003**

A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.

(

**8223**views)

**Canonical Transformations in Quantum Mechanics**

by

**Arlen Anderson**-

**arXiv**,

**1993**

Quantum canonical transformations are defined algebraically. This generalizes the quantum canonical transformations to include non-unitary transformations. Their importance for constructing solutions of the Schroedinger equation is discussed.

(

**3951**views)

**New Paths Towards Quantum Gravity**

by

**B. Booss-Bavnbek, G. Esposito, M. Lesch**-

**Springer**,

**2010**

The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. This book will benefit everyone working or entering the field of quantum gravity research.

(

**4475**views)

**Spin Foam Models for Quantum Gravity**

by

**Alejandro Perez**-

**arXiv**,

**2003**

In this article we review the present status of the spin foam formulation of non-perturbative quantum gravity. In the first part we present a general introduction to the main ideas emphasizing their motivations from various perspectives.

(

**3797**views)

**An Introduction to Quantum Gravity**

by

**Bryce S. DeWitt, Giampiero Esposito**-

**arXiv**,

**2007**

The reader is introduced to the functional integral quantization of gravitation and Yang-Mills theory. The text is useful for all Ph.D. students who face the task of learning some basic concepts in quantum gravity in a relatively short time.

(

**5277**views)

**Introduction to Loop Quantum Gravity**

by

**Simone Mercuri**-

**arXiv**,

**2010**

After a description of some general arguments and an introduction to the canonical theory of gravity, the author reviews the background independent approach to quantum gravity, giving only a brief survey of Loop Quantum Gravity.

(

**4579**views)

**Loop Quantum Gravity**

by

**Thomas Thiemann**-

**arXiv**,

**2006**

This is a (relatively) non-technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results obtained so far are non-trivial.

(

**4612**views)

**Introduction to Modern Canonical Quantum General Relativity**

by

**Thomas Thiemann**-

**arXiv**,

**2001**

This is an introduction to canonical quantum general relativity, an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.

(

**7587**views)

**The Nature of Space and Time**

by

**Stephen Hawking, Roger Penrose**-

**arXiv**,

**1994**

Stephen Hawking and Roger Penrose put forward their related but rather different viewpoints on the nature of space and time. They discuss their different approaches. A basic knowledge of general relativity and quantum theory is assumed.

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**8385**views)