Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction and Overview
- 2 Classical Mechanics
- 3 Hilbert Space: The Arena of Quantum Mechanics
- 4 Quantum Mechanics
- 5 Scalar Quantum Field Theory
- 6 Expanding the Data Base
- 7 Rotationally Symmetric Models
- 8 Continuous and Discontinuous Perturbations
- 9 Independent-Value Models
- 10 Ultralocal Models
- 11 Summary and Outlook
- References
- Index
1 - Introduction and Overview
Published online by Cambridge University Press: 15 September 2009
- Frontmatter
- Contents
- Preface
- 1 Introduction and Overview
- 2 Classical Mechanics
- 3 Hilbert Space: The Arena of Quantum Mechanics
- 4 Quantum Mechanics
- 5 Scalar Quantum Field Theory
- 6 Expanding the Data Base
- 7 Rotationally Symmetric Models
- 8 Continuous and Discontinuous Perturbations
- 9 Independent-Value Models
- 10 Ultralocal Models
- 11 Summary and Outlook
- References
- Index
Summary
Another book on quantum field theory?
There is absolutely no question that there are many excellent texts on the general subject of Quantum Field Theory. The field is vast and there are good reasons for such a large number of books. Generally, each book adopts a point of view favored by the author, and this is how it should be (indeed, this book will be no exception). Despite the fact that there are so many different important topics to address, it is no exaggeration to state, generally speaking, that most of these books cover common ground. There are chapters on canonical quantization techniques, free boson and fermion fields, Abelian gauge fields, interactions with external sources, coupled fields, perturbation theory with an emphasis on Feynman graphs, dealings with divergences: regularization and renormalization, path integral and functional integration formulations, non-Abelian gauge fields, and more modern topics such as the renormalization group and dimensional regularization. These and related tools and techniques are well honed and serve magnificently for studying a wide variety of interactions that describe the real world. But perhaps less appreciated is the fact that these methods do not provide a satisfactory quantization scheme for all classical field theories that one would like to deal with. At present there is, in the author's opinion, no satisfactory quantum theory of self-interacting relativistic scalar fields in four and more space-time dimensions, and while there is no lack of attempts there is no consensus on a satisfactory theory of the quantum gravitational field.
- Type
- Chapter
- Information
- Beyond Conventional Quantization , pp. 1 - 5Publisher: Cambridge University PressPrint publication year: 1999