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The Continuum Limit of Causal Fermion Systems
From Planck Scale Structures to Macroscopic Physics
Buch von Felix Finster
Sprache: Englisch

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Beschreibung
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.
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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

Causal Fermion Systems: An Overview.- Computational Tools.- An Action Principle for an Interacting Fermion System and its Analysis in the Continuum Limit.- The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions.- The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions.- Appendices.

Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fundamental Theories of Physics
Inhalt: xi
548 S.
11 s/w Illustr.
548 p. 11 illus.
ISBN-13: 9783319420660
ISBN-10: 3319420666
Sprache: Englisch
Herstellernummer: 978-3-319-42066-0
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Finster, Felix
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Fundamental Theories of Physics
Maße: 241 x 160 x 36 mm
Von/Mit: Felix Finster
Erscheinungsdatum: 29.08.2016
Gewicht: 0,998 kg
Artikel-ID: 103744871
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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

Causal Fermion Systems: An Overview.- Computational Tools.- An Action Principle for an Interacting Fermion System and its Analysis in the Continuum Limit.- The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions.- The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions.- Appendices.

Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Fundamental Theories of Physics
Inhalt: xi
548 S.
11 s/w Illustr.
548 p. 11 illus.
ISBN-13: 9783319420660
ISBN-10: 3319420666
Sprache: Englisch
Herstellernummer: 978-3-319-42066-0
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Finster, Felix
Auflage: 1st ed. 2016
Hersteller: Springer International Publishing
Springer International Publishing AG
Fundamental Theories of Physics
Maße: 241 x 160 x 36 mm
Von/Mit: Felix Finster
Erscheinungsdatum: 29.08.2016
Gewicht: 0,998 kg
Artikel-ID: 103744871
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