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From the point of view of an uncompromising field theorist quantum gravity is beset with serious technical and, above all, conceptual problems with regard especially to the meaning of genuine "physical" observables. This situation is not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wolfgang Kummer

The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be…

High Energy Physics - Theory · Physics 2007-05-23 Lee Smolin

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

High Energy Physics - Theory · Physics 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a…

High Energy Physics - Theory · Physics 2008-11-26 Djordje Minic , Chia-Hsiung Tze

We discuss the meaning of background independence in quantum theories of gravity where geometry and gravity are emergent and illustrate the possibilities using the framework of quantum causal histories.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fotini Markopoulou

In the investigation and resolution of the cosmological constant problem the inclusion of the dynamics of quantum gravity can be a crucial step. In this work we suggest that the quantum constraints in a canonical theory of gravity can…

High Energy Physics - Theory · Physics 2013-04-23 Jan Govaerts , Simone Zonetti

It is generally believed that a full-fledged theory of quantum gravity should exhibit background independence and diffeomorphism invariance. In its most general form, the latter comprises field redefinitions, which are diffeomorphisms in…

High Energy Physics - Theory · Physics 2023-01-25 Roberto Casadio , Alexander Kamenshchik , Iberê Kuntz

Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct…

High Energy Physics - Theory · Physics 2007-11-26 Luzi Bergamin , Rene Meyer

Background independence is often emphasized as an important property of a quantum theory of gravity that takes seriously the geometrical nature of general relativity. In a background-independent formulation, quantum gravity should determine…

General Relativity and Quantum Cosmology · Physics 2021-08-27 Martin Bojowald

We describe the construction of quantum gravity, i.e. of a theory of self-interacting massless spin-2 quantum gauge fields, the gravitons, on flat space-time, in the framework of causal perturbation theory.

High Energy Physics - Theory · Physics 2007-05-23 Nicola Grillo

The goal of this article is to present an introduction to loop quantum gravity -a background independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abhay Ashtekar , Jerzy Lewandowski

Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also…

General Relativity and Quantum Cosmology · Physics 2012-03-12 Ghanashyam Date , Golam Mortuza Hossain

Any canonical quantum theory can be understood to arise from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This geometric perspective offers a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vishnu Jejjala , Djordje Minic , Chia-Hsiung Tze

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

The history of general relativity suggests that in absence of experimental data, constructing a theory on philosophical first principles can lead to a very useful theory as well as to ground-breaking insights about physical reality. The two…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Manuel Bärenz

Quantization of two-dimensional dilaton gravity coupled to conformal matter is investigated. Working in conformal gauge about a fixed background metric, the theory may be viewed as a sigma model whose target space is parameterized by the…

High Energy Physics - Theory · Physics 2009-09-17 Steven B. Giddings , Andrew Strominger

We review quantum causal histories starting with their interpretations as a quantum field theory on a causal set and a quantum geometry. We discuss the difficulties that background independent theories based on quantum geometry encounter in…

High Energy Physics - Theory · Physics 2007-05-23 Fotini Markopoulou

We recapitulate the scheme of emergent gravity to highlight how a background independent quantum gravity can be defined by quantizing spacetime itself.

High Energy Physics - Theory · Physics 2012-02-14 Hyun Seok Yang

Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured over the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Thomas Thiemann

One of the biggest challenges to theoretical physics of our time is to find a background-independent quantum theory of gravity. Today one encounters a profusion of different attempts at quantization, but no fully accepted - or acceptable,…

General Relativity and Quantum Cosmology · Physics 2008-01-29 M. D. Iftime
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