Fundamental Theories of Physics

The Continuum Limit of Causal Fermion Systems

From Planck Scale Structures to Macroscopic Physics

Autoren: Finster, Felix

  • 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
Weitere Vorteile

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eBook 91,62 €
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  • ISBN 978-3-319-42067-7
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Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-42066-0
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-82492-5
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

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 den Autor

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

“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)

  • Causal Fermion Systems—An Overview

    Finster, Felix

    Seiten 1-79

  • Computational Tools

    Finster, Felix

    Seiten 81-207

  • An Action Principle for an Interacting Fermion System and Its Analysis in the Continuum Limit

    Finster, Felix

    Seiten 209-326

  • The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions

    Finster, Felix

    Seiten 327-430

  • The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions

    Finster, Felix

    Seiten 431-477

Dieses Buch kaufen

eBook 91,62 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-42067-7
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-42066-0
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-82492-5
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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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
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