Advances in Algebraic Quantum Field Theory

  • Romeo Brunetti
  • Claudio Dappiaggi
  • Klaus Fredenhagen
  • Jakob Yngvason

Part of the Mathematical Physics Studies book series (MPST)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Klaus Fredenhagen, Katarzyna Rejzner
    Pages 31-74
  3. Marco Benini, Claudio Dappiaggi
    Pages 75-124
  4. Christopher J. Fewster, Rainer Verch
    Pages 125-189
  5. Thomas-Paul Hack, Nicola Pinamonti
    Pages 253-288
  6. Dorothea Bahns, Sergio Doplicher, Gerardo Morsella, Gherardo Piacitelli
    Pages 289-329
  7. Back Matter
    Pages 449-453

About this book


This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques.

The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.


AQFT on Curved Backgrounds Algebraic Conformal Field Theory Algebraic Quantum Field Theory Hadamard States Interacting Field Theories Kitaev’s Quantum Double Model Microlocal Analysis Noncommutative Spacetimes Perturbative Algebraic Quantum Field Theory Quantum Electrodynamics Supersymmetric Algebraic Quantum Field Theory

Editors and affiliations

  • Romeo Brunetti
    • 1
  • Claudio Dappiaggi
    • 2
  • Klaus Fredenhagen
    • 3
  • Jakob Yngvason
    • 4
  1. 1.University of TrentoTrentoItaly
  2. 2.University of PaviaPaviaItaly
  3. 3.University of HamburgHamburgGermany
  4. 4.University of ViennaViennaAustria

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-21352-1
  • Online ISBN 978-3-319-21353-8
  • Series Print ISSN 0921-3767
  • Series Online ISSN 2352-3905
  • Buy this book on publisher's site