The Principle of the Fermionic Projector
Title | The Principle of the Fermionic Projector PDF eBook |
Author | Felix Finster |
Publisher | American Mathematical Soc. |
Pages | 314 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821839748 |
The "principle of the fermionic projector" provides a new mathematical framework for the formulation of physical theories and is a promising approach for physics beyond the standard model. This book begins with a brief review of relativity, relativistic quantum mechanics, and classical gauge theories, emphasizing the basic physical concepts and mathematical foundations. The external field problem and Klein's paradox are discussed and then resolved by introducing the fermionicprojector, a global object in space-time that generalizes the notion of the Dirac sea. At the mathematical core of the book is a precise definition of the fermionic projector and the use of methods of hyperbolic differential equations for detailed analysis. The fermionic projector makes it possible toformulate a new type of variational principle in space-time. The mathematical tools are developed for the analysis of the corresponding Euler-Lagrange equations. A particular variational principle is proposed that gives rise to an effective interaction which shows many similarities to the interactions of the standard model. The main chapters of the book are easily accessible for beginning graduate students in mathematics or physics. Several appendices provide supplementary material, which willbe useful to the experienced researcher.
The Principle of the Fermionic Projector
Title | The Principle of the Fermionic Projector PDF eBook |
Author | Felix Finster |
Publisher | |
Pages | 82 |
Release | 2002 |
Genre | |
ISBN |
The Principle of the Fermionic Projector I, Introduction and Continuum Limit
Title | The Principle of the Fermionic Projector I, Introduction and Continuum Limit PDF eBook |
Author | Felix Finster |
Publisher | |
Pages | 79 |
Release | 2000 |
Genre | |
ISBN |
The Principle of the Fermionic Projector II
Title | The Principle of the Fermionic Projector II PDF eBook |
Author | Felix Finster |
Publisher | |
Pages | |
Release | 2002 |
Genre | |
ISBN |
The Principle of the Fermionic Projector III, Normalization of the Fermionic States
Title | The Principle of the Fermionic Projector III, Normalization of the Fermionic States PDF eBook |
Author | Felix Finster |
Publisher | |
Pages | 35 |
Release | 2002 |
Genre | |
ISBN |
The Principle of the Fermionic Projector II, Derivation of the Effective Gauge Group
Title | The Principle of the Fermionic Projector II, Derivation of the Effective Gauge Group PDF eBook |
Author | Felix Finster |
Publisher | |
Pages | 82 |
Release | 2002 |
Genre | |
ISBN |
Quantum Gravity
Title | Quantum Gravity PDF eBook |
Author | Bertfried Fauser |
Publisher | Springer Science & Business Media |
Pages | 343 |
Release | 2007-02-15 |
Genre | Science |
ISBN | 3764379782 |
This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".