The Continuum Limit of Causal Fermion Systems
From Planck Scale Structures to Macroscopic Physics
Autoren: Finster, Felix
Vorschau- 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
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- Über dieses Buch
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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.
- Über die Autor*innen
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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.
- Stimmen zum Buch
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“The present book collects the results of many research papers of the author and shows the great endeavor behind. … I find this book extremely useful and important for mathematicians and physicists alike, because it signifies a renaissance of mathematical logic and new vision of particle physics and gravity.” (Gert Roepstorff, zbMATH 1353.81001, 2017)
- Inhaltsverzeichnis (5 Kapitel)
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Causal Fermion Systems—An Overview
Seiten 1-79
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Computational Tools
Seiten 81-207
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An Action Principle for an Interacting Fermion System and Its Analysis in the Continuum Limit
Seiten 209-326
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The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions
Seiten 327-430
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The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions
Seiten 431-477
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Inhaltsverzeichnis (5 Kapitel)
- Download Vorwort 1 PDF (50.2 KB)
- Download Probeseiten 2 PDF (1.4 MB)
- Download Inhaltsverzeichnis PDF (194.1 KB)
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Bibliografische Information
- Bibliographic Information
-
- Buchtitel
- The Continuum Limit of Causal Fermion Systems
- Buchuntertitel
- From Planck Scale Structures to Macroscopic Physics
- Autoren
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- Felix Finster
- Titel der Buchreihe
- Fundamental Theories of Physics
- Buchreihen Band
- 186
- Copyright
- 2016
- Verlag
- Springer International Publishing
- Copyright Inhaber
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-42067-7
- DOI
- 10.1007/978-3-319-42067-7
- Hardcover ISBN
- 978-3-319-42066-0
- Softcover ISBN
- 978-3-319-82492-5
- Buchreihen ISSN
- 0168-1222
- Auflage
- 1
- Seitenzahl
- XI, 548
- Anzahl der Bilder
- 11 schwarz-weiß Abbildungen
- Themen
