Nonperturbative Quantum Field Theory and the Structure of Matter

This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works. The first part contains a new nonperturbative regularization and probability interpretation, as well as a new treatment of effective dynamics for quantum fields based on algebraic representation theory in functional spaces. In the second part these methods are applied to selected topics in high energy physics. In a generalization of de Broglie's fusion theory, gauge bosons and fermions are considered as composites and the basic dynamics of the electro-weak sector of the standard model is derived as an effective theory from a regularized spinor fields model. Linear gravity is discussed in the same way. Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be of interest to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed matter physics, and relativity.

Preface. Notation. 1. The Theory of Light and Wave Mechanics. 2. The Spinor Field Model. 3. Covariant Quantum Field Dynamics. 4. Algebraic Schrödinger Representation. 5. Weak Mapping Theorems. 6. Generalized de Broglie-Bargmann-Wigner Equations. 7. Effective SU(2) x U(1) Gauge Theory. 8. Effective Electro-weak Theory. 9. Fermions and Gravitation. Bibliography. Index.