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Quantum Field Theory and Gravity

Conceptual and Mathematical Advances in the Search for a Unified Framework

  • Book
  • © 2012

Overview

Editors:
  1. Felix Finster

    1. , Lehrstuhl für Mathematik, Universität Regensburg, Regensburg, Germany

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  2. Olaf Müller

    1. , Lehrstuhl für Mathematik, Universität Regensburg, Regensburg, Germany

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  3. Marc Nardmann

    1. , Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany

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  4. Jürgen Tolksdorf

    1. in den Naturwissenschaften, Max-Planck-Institut für Mathematik, Leipzig, Germany

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  5. Eberhard Zeidler

    1. in den Naturwissenschaften, Max-Planck-Institut für Mathematik, Leipzig, Germany

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  • Presents different approaches to quantum field theory and gravity
  • Emphasis on conceptual and mathematical questions aiming at a unified framework
  • Gives overview of present state of the art
  • Includes supplementary material: sn.pub/extras

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About this book

One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts.

 

This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison.

 

The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

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Keywords

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Quantum Gravity: Whence, Whither?

    • Claus Kiefer
    Pages 1-13

  3. Local Covariance and Background Independence

    • Klaus Fredenhagen, Katarzyna Rejzner
    Pages 15-23

  4. The “Big Wave” Theory for Dark Energy

    • Blake Temple
    Pages 25-40

  5. Discrete and Continuum Third Quantization of Gravity

    • Steffen Gielen, Daniele Oriti
    Pages 41-64

  6. Unsharp Values, Domains and Topoi

    • Andreas Döring, Rui Soares Barbosa
    Pages 65-96

  7. Causal Boundary of Spacetimes:Revision and Applications to AdS/CFT Correspondence

    • José Luis Flores, Jónatan Herrera, Miguel Sánchez
    Pages 97-119

  8. Some Mathematical Aspects of the Hawking Effect for Rotating Black Holes

    • Dietrich Häfner
    Pages 121-136

  9. Observables in the General Boundary Formulation

    • Robert Oeckl
    Pages 137-156

  10. Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle

    • Felix Finster, Andreas Grotz, Daniela Schiefeneder
    Pages 157-182

  11. CCR- versus CAR-Quantization on Curved Spacetimes

    • Christian Bär, Nicolas Ginoux
    Pages 183-206

  12. On the Notion of ‘the Same Physics in All Spacetimes’

    • Christopher J. Fewster
    Pages 207-227

  13. Local Covariance, Renormalization Ambiguity, and Local Thermal Equilibrium in Cosmology

    • Rainer Verch
    Pages 229-256

  14. Shape Dynamics. An Introduction

    • Julian Barbour
    Pages 257-297

  15. On the Motion of Point Defects in Relativistic Fields

    • Michael K.-H. Kiessling
    Pages 299-335

  16. How Unique Are Higher-dimensional Black Holes?

    • Stefan Hollands
    Pages 337-344

  17. Equivalence Principle, Quantum Mechanics, and Atom-Interferometric Tests

    • Domenico Giulini
    Pages 345-370

  18. Back Matter

    Pages 371-380
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Reviews

From the reviews:

“The articles present recent research on conceptual and mathematical issues aiming at a unified framework for quantum field theory and general relativity. … In my experience, this is the best single text to use to learn field theory that one can buy today. … for a solid grounding in the fundamentals of field theory there is no better place to start then this.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, March, 2014)

Editors and Affiliations

  • , Lehrstuhl für Mathematik, Universität Regensburg, Regensburg, Germany

    Felix Finster, Olaf Müller

  • , Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany

    Marc Nardmann

  • in den Naturwissenschaften, Max-Planck-Institut für Mathematik, Leipzig, Germany

    Jürgen Tolksdorf, Eberhard Zeidler

Bibliographic Information

  • Book Title: Quantum Field Theory and Gravity

  • Book Subtitle: Conceptual and Mathematical Advances in the Search for a Unified Framework

  • Editors: Felix Finster, Olaf Müller, Marc Nardmann, Jürgen Tolksdorf, Eberhard Zeidler

  • DOI: https://doi.org/10.1007/978-3-0348-0043-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Basel AG 2012

  • Hardcover ISBN: 978-3-0348-0042-6Published: 10 February 2012

  • Softcover ISBN: 978-3-0348-0792-0Published: 13 April 2014

  • eBook ISBN: 978-3-0348-0043-3Published: 08 February 2012

  • Edition Number: 1

  • Number of Pages: XIV, 382

  • Topics: Global Analysis and Analysis on Manifolds, Field Theory and Polynomials

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