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9780691070629

Pct, Spin and Statistics, and All That

by ;
  • ISBN13:

    9780691070629

  • ISBN10:

    0691070628

  • Format: Paperback
  • Copyright: 2000-10-16
  • Publisher: Princeton Univ Pr

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Summary

PCT, Spin and Statistics, and All Thatis the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.

Table of Contents

Preface vii
Relativistic Transformation Laws
4(27)
Super-Selection Rules
5(2)
Symmetry Operations
7(2)
The Lorentz and Poincare Groups
9(12)
Relativistic Transformation Laws of States
21(10)
Bibliography
30(1)
Some Mathematical Tools
31(65)
Definition of Distribution
31(12)
Fourier Transforms
43(4)
Laplace Transforms and Holomorphic Functions
47(16)
Tubes and Extended Tubes
63(11)
The Edge of the Wedge Theorem
74(10)
Hilbert Space
84(12)
Bibliography
93(3)
Fields and Vacuum Expectation Values
96(38)
Axioms for the Notions of Field and Field Theory
96(6)
Independence and Compatibility of the Axioms
102(4)
Properties of the Vacuum Expectation Values
106(11)
The Reconstruction Theorem: Recovery of a Theory from its Vacuum Expectation Values
117(15)
Symmetries in a Field Theory
132(2)
Bibliography
Some General Theorems of Relativistic Quantum Field Theory
134(45)
The Global Nature of Local Commutativity
134(3)
Properties of the Polynomial Algebra of an Open Set
137(5)
The PCT Theorem
142(4)
Spin and Statistics
146(15)
Haag's Theorem and Its Generalizations
161(7)
Equivalence Classes of Local Fields (Borchers Classes)
168(11)
Bibliography
175(4)
Appendix 179(26)
Constructive Quantum Field Theory and the Existence of Non-Trivial Theories of Interacting Fields
179(12)
Local Algebras and Superselection Sectors
191(7)
Bibliography
198(7)
Index 205

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