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The Continuum Limit of Causal Fermion Systems

  • Couverture cartonnée
  • 560 Nombre de pages
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This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fund... Lire la suite
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Description

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.



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



Auteur

Felix Finster studied physics and mathematics at the University of Heidelberg, where he graduated in 1992 with Claus Gerhardt and Franz Wegner. In 19921995 he wrote his PhD thesis at ETH Zürich with Konrad Osterwalder. In 19961998 he was a post-doc with Shing-Tung Yau at Harvard University. From 19982002 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. 



Contenu

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.

Informations sur le produit

Titre: The Continuum Limit of Causal Fermion Systems
Auteur:
Code EAN: 9783319824925
ISBN: 3319824929
Format: Couverture cartonnée
Editeur: Springer International Publishing
nombre de pages: 560
Poids: 838g
Taille: H235mm x B155mm x T29mm
Année: 2018
Auflage: Softcover reprint of the original 1st ed. 2016