Quantum Mathematical Physics

A Bridge between Mathematics and Physics

  • Felix Finster
  • Johannes Kleiner
  • Christian Röken
  • Jürgen Tolksdorf

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Christopher J. Fewster
    Pages 1-18
  3. Daniel Becker, Martin Reuter
    Pages 19-41
  4. Claudio Dappiaggi
    Pages 77-99
  5. Frédéric Paugam
    Pages 119-135
  6. Harald Grosse, Raimar Wulkenhaar
    Pages 137-161
  7. Christian Fleischhack
    Pages 201-232
  8. Gerhard Börner
    Pages 233-255
  9. Felix Finster
    Pages 313-380
  10. Dirk-André Deckert, Franz Merkl
    Pages 381-399
  11. Stefan Waldmann
    Pages 421-439
  12. Michael K.-H. Kiessling, A. Shadi Tahvildar-Zadeh
    Pages 441-469
  13. Christoph A. Stephan
    Pages 471-495
  14. Back Matter
    Pages 515-518

About this book


Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts.

This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' 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.


general relativity quantum field theory mathematical physics quantum gravity quantum physics

Editors and affiliations

  • Felix Finster
    • 1
  • Johannes Kleiner
    • 2
  • Christian Röken
    • 3
  • Jürgen Tolksdorf
    • 4
  1. 1.Universität RegensburgFakultät für MathematikRegensburgGermany
  2. 2.Regensburg, GermanyFakultät für Mathematik Universität RegeRegensburgGermany
  3. 3.Regensburg, GermanyFakultät für Mathematik Universität RegeRegensburgGermany
  4. 4.Leipzig, GermanyMPI für Mathematik in den NaturwissenschLeipzigGermany

Bibliographic information