Description

Book Synopsis

The 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

Introduction to Algebraic and Constructive

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    A Paperback by John C. Baez, Irving E. Segal, Zhengfang Zhou

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      View other formats and editions of Introduction to Algebraic and Constructive by John C. Baez

      Publisher: Princeton University Press
      Publication Date: 7/1/2014 12:00:00 AM
      ISBN13: 9780691605128, 978-0691605128
      ISBN10: 0691605122
      Also in:
      Physics

      Description

      Book Synopsis

      The 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

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