Description
Book SynopsisThe authors present a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. Their aim is to correlate modern mathematical theory with the explanation of the observed process of particle production and of particle-wave duality that heuristic quantum field theory provides. Many topics are treated here
Trade Review"The book provides an important overview and a useful synthesis of some significant contributions to the mathematical understanding of quantum field theory."--Physics Today
Table of Contents*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*Introduction, pg. xiii*1. The Free Boson Field, pg. 3*2. The Free Fermion Field, pg. 75*3. Properties of the Free Fields, pg. 96*4. Absolute Continuity and Unitary Implementability, pg. 118*5. C-Algebraic Quantization, pg. 142*6. Quantization of Linear Differential Equations, pg. 153*7. Renormalized Products of Quantum Fields, pg. 174*8. Construction of Nonlinear Quantized Fields, pg. 208*Appendix A. Principal Notations, pg. 251*Appendix BETA. Universal Fields and the Quantization of Wave Equations, pg. 254*Glossary, pg. 258*Bibliography, pg. 281*Index, pg. 289