© 2012

Quantum Field Theory and Gravity

Conceptual and Mathematical Advances in the Search for a Unified Framework

  • Felix Finster
  • Olaf Müller
  • Marc Nardmann
  • Jürgen Tolksdorf
  • Eberhard Zeidler

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Claus Kiefer
    Pages 1-13
  3. Klaus Fredenhagen, Katarzyna Rejzner
    Pages 15-23
  4. Steffen Gielen, Daniele Oriti
    Pages 41-64
  5. Andreas Döring, Rui Soares Barbosa
    Pages 65-96
  6. José Luis Flores, Jónatan Herrera, Miguel Sánchez
    Pages 97-119
  7. Felix Finster, Andreas Grotz, Daniela Schiefeneder
    Pages 157-182
  8. Christian Bär, Nicolas Ginoux
    Pages 183-206
  9. Christopher J. Fewster
    Pages 207-227
  10. Julian Barbour
    Pages 257-297
  11. Michael K.-H. Kiessling
    Pages 299-335
  12. Stefan Hollands
    Pages 337-344
  13. Back Matter
    Pages 371-380

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.


category theory causal sets discrete space–time structures quantum gravity topoi

Editors and affiliations

  • Felix Finster
    • 1
  • Olaf Müller
    • 2
  • Marc Nardmann
    • 3
  • Jürgen Tolksdorf
    • 4
  • Eberhard Zeidler
    • 5
  1. 1., Lehrstuhl für MathematikUniversität RegensburgRegensburgGermany
  2. 2., Lehrstuhl für MathematikUniversität RegensburgRegensburgGermany
  3. 3., Fachbereich MathematikUniversität HamburgHamburgGermany
  4. den NaturwissenschaftenMax-Planck-Institut für MathematikLeipzigGermany
  5. den NaturwissenschaftenMax-Planck-Institut für MathematikLeipzigGermany

Bibliographic information


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,, March, 2014)