Editors:
- Reference book on Algebraic Quantum Field Theory: from an introduction to the field up to the most recent advanced topics
- Written and edited by leading experts in the field
- Provides mathematicians with concrete applications for their techniques such as for example microlocal analysis or infinite dimensional calculus
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematical Physics Studies (MPST)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
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.
Keywords
- 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
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University of Trento, Trento, Italy
Romeo Brunetti
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University of Pavia, Pavia, Italy
Claudio Dappiaggi
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University of Hamburg, Hamburg, Germany
Klaus Fredenhagen
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University of Vienna, Vienna, Austria
Jakob Yngvason
Bibliographic Information
Book Title: Advances in Algebraic Quantum Field Theory
Editors: Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, Jakob Yngvason
Series Title: Mathematical Physics Studies
DOI: https://doi.org/10.1007/978-3-319-21353-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-21352-1Published: 15 September 2015
Softcover ISBN: 978-3-319-35602-0Published: 22 October 2016
eBook ISBN: 978-3-319-21353-8Published: 04 September 2015
Series ISSN: 0921-3767
Series E-ISSN: 2352-3905
Edition Number: 1
Number of Pages: XII, 453
Number of Illustrations: 9 b/w illustrations, 3 illustrations in colour
Topics: Quantum Field Theories, String Theory, Mathematical Physics, Mathematical Methods in Physics