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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A. S. Wightman algebra analytic continuation anti-commute anti-unitary argument asymptotic completeness axioms boundary values bounded operators Chapter coherent subspace complex Lorentz components cone construction convergence D₁ defined definition dense domain equation equivalence class Euclidean example exists extended tube F₁ F₂ follows free field given H₁ 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 Math matrix momentum monomial neighborhood normal commutation relations open set p₁ particles PCT theorem Phys polynomial proof prove quantum field theory relativistic quantum representation scalar field scalar product Section self-adjoint sequence smeared fields space-time spinor subset super-selection rules Suppose symmetry T₁ tempered distribution test functions transformation law unique unitary vacuum expectation values vanishes wedge theorem zero