دانلود کتاب Introduction to Algebraic and Constructive Quantum Field Theory

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Cover
Princeton Series in Physics
Introduction to Algebraic and Constructive Quantum Field Theory
Copyright
© 1992 by Princeton University Press
ISBN 0-691-08546-3
QC174.45.B29 1991 530.! \'43—dc2O
LCCN 91-16504

Contents
Preface
Introduction
The logical structure of quantum field theory
Organization of the book

1 The Free Boson Field
1.1. Introduction
1.2. Weyl and Heisenberg systems
Problems
1.3. Functional integration
Problems
1.4. QuasI-invariant distributions
Problems
1.5 Absolute continuity
Problems
1.6. IrreducIbIlity and ergodicity
1.7. The Fourier-Wiener transform
Problems
1.8. The structure or F and wave-particle duality
Problems
1.9. Implications of wave-particle duality
1.10. Characterization of the free boson field
1.11. The complex wave representation
Problems
1.12. Analytic features of the complex wave representation
Bibliographical Notes on Chapter 1

2 The Free Fermion Field
2.1. Clifford systems
2.2. Existence of the free fermion field
2.3. The real wave representation
2.4. The complex wave representation
Problems
Bibliographical Notes on Chapter 2

3 Properties of the Free Fields
3.1. Introduction
3.2. The exponential laws
3.3. Irreducibility
3.4. Representation of the orthogonal group by measure-preserving transformations
3.5. Bosonlc quantizatlon of symplectic dynamics
3.6. Fermionic quantization of orthogonal dynamics
Problems
Bibliographical Notes on Chapter 3

4 Absolute Continuity and Unitary Implementability
4.1. Introduction
4.2. Equivalence of distributions
4.3. Quasi-invarIant distributions and Weyl systems
4.4. Ergodlclty and irreducibilIty of Weyl pairs
4.5. Infinite products of HUbert spaces
4.6. Affine transforms of the isonormal distribution
Problems
4.7. Implementability of orthogonal transformations on the fermion field
Problems
1981.)Bibliographical Notes on Chapter 4

5 C*-Algebraic Quantization
5.1. Introduction
5.2. Weyl algebras over a linear symplectic space
Problems
5.3. Regular states of the general boson field
5.4. The Clifford C*-Algebra
5.5. Lexicon: The distribution of occupation numbers
Problems
Bibliographical Notes on Chapter 5

6 Quantization of Linear Differential Equations
6.1. Introduction
6.2. The Sehrodinger equation
6.3. Quantization of second-order equations
6.4. Finite propagation velocity
6.5. Quantlzation of the Dirac equation
6.6. Quantization of global spaces of wave functions
Problems
BIblIographical Notes on Chapter 6

7 Renormalized Products of Quantum Fields
7.1. The algebra of additive renormalization
7.2. Renormalized products of the free boson field
Problems
7.3. Regularity properties of boson field operators
Problems
7.4. Renormalized local products of field operators
Problems
Bibliographical Notes on Chapter 7

8 Construction of Nonlinear Quantized Fields
8.1. IntroductIon
8.2. The Lp scale
8.3. Renormalized products at fixed times
Problems
8.4. Properties of fixed-time renormalizatlon
Problems
8.5. The semigroup generated by the interaction Hamiltonian
8.6. The pseudo-Interacting field
8.7. Dynamic causality
8.8. The local quantized equation of motion
Problems
Bibliographical Notes on Chapter 8
Appendix A. Principal Notations
Appendix B. Universal Fields and the Quantization of Wave Equations
Glossary
Bibliography
Index