PCT, Spin and Statistics, and All ThatPCT, Spin and Statistics, and All That is 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. |
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Contents
4 | |
Chapter 2 Some Mathematical Tools | 31 |
Chapter 3 Fields and Vacuum Expectation Values | 96 |
Chapter 4 Some General Theorems of Relativistic Quantum Field Theory | 134 |
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Common terms and phrases
A. S. Wightman algebra analogous analytic continuation anti-commute anti-unitary argument asymptotic completeness axioms boundary values bounded operators Chapter coherent subspace collision complex Lorentz complex variables components con cone construction convergence cyclic vector defined definition dense domain equation equivalence class Euclidean example exists extended tube follows free field given Hamiltonian hermitian scalar field Hilbert space holomorphic function implies infinitely differentiable function integral interaction invariant irreducible set Jost points Laplace transform linear Lorentz group Lorentz transformations mass matrix momentum monomial neighborhood normal commutation relations open set orthogonal particles PCT theorem Phys physically realizable polynomial proof prove quantum field theory quantum mechanics representation restricted Lorentz scalar field scalar product Section self-adjoint sequence smeared fields space-like separated space-time spinor subset super-selection rules Suppose symmetry tempered distribution test functions trans transformation law U(IS unique unitary vacuum expectation values vanishes wedge theorem zero