Overview
- First coherent treatment of causal fermion systems
- Makes the connection to the standard model of elementary particle physics
- Proposes a mathematical structure of space-time on the Planck scale
- Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 186)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and "quantum geometries". The dynamics is described by a novel variational principle, called the causal action principle.
In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.
The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
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Authors and Affiliations
About the author
Felix Finster studied physics and mathematics at the University of Heidelberg, where he graduated in 1992 with Claus Gerhardt and Franz Wegner. In 1992–1995 he wrote his PhD thesis at ETH Zürich with Konrad Osterwalder. In 1996–1998 he was a post-doc with Shing-Tung Yau at Harvard University. From 1998–2002 he was member of the Max Planck Institute for Mathematics in the Sciences in Leipzig in the group of Eberhard Zeidler. Since 2002 he has been full professor of mathematics at the University of Regensburg. He works on problems in general relativity and quantum field theory.
Bibliographic Information
Book Title: The Continuum Limit of Causal Fermion Systems
Book Subtitle: From Planck Scale Structures to Macroscopic Physics
Authors: Felix Finster
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-3-319-42067-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-42066-0Published: 29 August 2016
Softcover ISBN: 978-3-319-82492-5Published: 14 June 2018
eBook ISBN: 978-3-319-42067-7Published: 19 August 2016
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XI, 548
Number of Illustrations: 11 b/w illustrations
Topics: Quantum Field Theories, String Theory, Elementary Particles, Quantum Field Theory, Mathematical Physics