Continuum Limit of Causal Fermion Systems

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.

“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)

• 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.