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I shall discuss some "conditions of possibility" of a quantum theory of gravity, stressing the need for solutions to some of fundamental problems confronting any attempt to apply some method of quantization to the field equations of general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John Stachel

We introduce the notion of background independent quantum field theory. The distinguishing feature of this theory is that the dynamics can be formulated without recourse to a background metric structure. We show in a simple model how the…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Dreyer

The construction of a consistent theory of quantum gravity is a problem in theoretical physics that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial quantum theory proceeds via a discretization of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Loll

After a long technical and consequently philosophical disgression about the necessity of the construction presented in this book, a logically consistent and precise theory of quantum gravity is presented. The construction of this theory…

General Physics · Physics 2013-05-07 Johan Noldus

We provide a concise approach to generalized dilaton theories with and without torsion and coupling to Yang-Mills fields. Transformations on the space of fields are used to trivialize the field equations locally. In this way their solution…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Kloesch , T. Strobl

We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory and the renormalized Batalin-Vilkovisky…

Mathematical Physics · Physics 2015-11-30 Romeo Brunetti , Klaus Fredenhagen , Katarzyna Rejzner

The search for a consistent and empirically established quantum theory of gravity is among the biggest open problems of fundamental physics. The obstacles are of formal and of conceptual nature. Here, I address the main conceptual problems,…

General Relativity and Quantum Cosmology · Physics 2014-01-16 Claus Kiefer

Work in progress is described which aims to construct a background independent formulation of M theory by extending results about background independent states and observables from quantum general relativity and supergravity to string…

High Energy Physics - Theory · Physics 2015-06-26 Lee Smolin

Using the background-metric independence for the traceless mode as well as the conformal mode, 4D quantum gravity is described as a quantum field theory defined on a non-dynamical background-metric. The measure then induces an action with 4…

High Energy Physics - Theory · Physics 2009-10-31 Ken-ji Hamada , Fumihiko Sugino

Is there an approach to quantum gravity which is conceptually simple, relies on very few fundamental physical principles and ingredients, emphasizes geometric (as opposed to algebraic) properties, comes with a definite numerical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Loll

The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.

General Relativity and Quantum Cosmology · Physics 2009-10-28 John W. Barrett

Quantum gravity is the missing piece in our understanding of the fundamental interactions today. Given recent observational breakthroughs in gravity, providing a quantum theory for what lies beyond general relativity is more urgent than…

High Energy Physics - Theory · Physics 2022-06-15 R. Loll , G. Fabiano , D. Frattulillo , F. Wagner

We investigate the possibility that a background independent quantum theory of gravity is not a theory of quantum geometry. We provide a way for global spacetime symmetries to emerge from a background independent theory without geometry. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David W. Kribs , Fotini Markopoulou

Some results of author's work in a non-geometrical approach to quantum gravity are reviewed here, among them: a quantum mechanism of classical gravity giving a possibility to compute the Newton constant; asymptotic freedom at short…

General Physics · Physics 2009-05-26 Michael A. Ivanov

One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The…

Mathematical Physics · Physics 2011-02-14 Klaus Fredenhagen , Katarzyna Rejzner

Investigating quantum gravity requires a comprehension of both, general relativity and quantum field theory. Therefore this thesis starts, after a general introduction to the treated topics, with a brief review of the field theoretical…

High Energy Physics - Theory · Physics 2018-10-09 Natalia Alkofer

We introduce an external field to calculate the quantum corrections of the 2d gravity, via trace anomaly. We show that there are black hole type solution even in the absence of matter field and cosmological constant. We also see that these…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Alves

The recent formulation of locally covariant quantum field theory may open the way towards a background independent perturbative formulation of Quantum Gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Romeo Brunetti , Klaus Fredenhagen

Although general relativity is a predictively successful theory, it treats matter as classical rather than as quantum. For this reason, it will have to be replaced by a more fundamental quantum theory of gravity. Attempts to formulate a…

History and Philosophy of Physics · Physics 2019-02-07 Christian Wuthrich

The cosmological constant problem is one of the long-standing issues of modern physics. While we can measure the value of the cosmological constant with great accuracy, we are not able to calculate it in a coherent theoretical framework. On…

High Energy Physics - Theory · Physics 2012-09-21 Simone Zonetti