Ebook: 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.

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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.
Content:
Front Matter....Pages i-3
The Theory of Light and Wave Mechanics....Pages 4-38
The Spinor Field Model....Pages 39-68
Covariant Quantum Field Dynamics....Pages 69-96
Algebraic Schr?dinger Representation....Pages 97-125
Weak Mapping Theorems....Pages 126-147
Generalized de Broglie-Bargmann-Wigner Equations....Pages 148-189
Effective SU(2) ? U(1) Gauge Theory....Pages 190-225
Effective Electro-weak Theory....Pages 226-275
Fermions and Gravitation....Pages 276-299
Back Matter....Pages 300-331

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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.
Content:
Front Matter....Pages i-3
The Theory of Light and Wave Mechanics....Pages 4-38
The Spinor Field Model....Pages 39-68
Covariant Quantum Field Dynamics....Pages 69-96
Algebraic Schr?dinger Representation....Pages 97-125
Weak Mapping Theorems....Pages 126-147
Generalized de Broglie-Bargmann-Wigner Equations....Pages 148-189
Effective SU(2) ? U(1) Gauge Theory....Pages 190-225
Effective Electro-weak Theory....Pages 226-275
Fermions and Gravitation....Pages 276-299
Back Matter....Pages 300-331
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