The Physics of Quantum Fields

1. Front Matter

   Pages i-xiv

   PDF

2. Discrete Systems

   • Michael Stone

   Pages 1-11

3. Relativistic Scalar Fields

   • Michael Stone

   Pages 12-24

4. Perturbation Theory

   • Michael Stone

   Pages 25-36

5. Feynman Rules

   • Michael Stone

   Pages 37-47

6. Loops, Unitarity, and Analyticity

   • Michael Stone

   Pages 48-61

7. Formal Developments

   • Michael Stone

   Pages 62-71

8. Fermions

   • Michael Stone

   Pages 72-82

9. QED

   • Michael Stone

   Pages 83-96

10. Electrons in Solids

    • Michael Stone

    Pages 97-116

11. Nonrelativistic Bosons

    • Michael Stone

    Pages 117-135

12. Finite Temperature

    • Michael Stone

    Pages 136-142

13. Path Integrals

    • Michael Stone

    Pages 143-157

14. Functional Methods

    • Michael Stone

    Pages 158-170

15. Path Integrals for Fermions

    • Michael Stone

    Pages 171-184

16. Lattice Field Theory

    • Michael Stone

    Pages 185-200

17. The Renormalization Group

    • Michael Stone

    Pages 201-212

18. Fields and Renormalization

    • Michael Stone

    Pages 213-232

19. Large N Expansions

    • Michael Stone

    Pages 233-245

20. Back Matter

    Pages 246-271

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This book is intended to provide a general introduction to the physics of quantized fields and many-body physics. It is based on a two-semester sequence of courses taught at the University of Illinois at Urbana-Champaign at various times between 1985 and 1997. The students taking all or part of the sequence had interests ranging from particle and nuclear theory through quantum optics to condensed matter physics experiment. The book does not cover as much ground as some texts. This is because I have tried to concentrate on the basic conceptual issues that many students find difficult. For a computation-method oriented course an instructor would probably wish to suplement this book with a more comprehensive and specialized text such as Peskin and Schroeder An Introduction to Quantum Field Theory, which is intended for particle theorists, or perhaps the venerable Quantum Theory of Many-Particle Systems by Fetter and Walecka. The most natural distribution of the material if the book is used for a two-semster course is as follows: 1 st Semester: Chapters 1-11. 2nd semester: Chapters 12-18.

• Dirac equation
• Feyman path integral
• Second quantization
• Ward identities
• many-body physics
• quantized fields
• quantum mechanics

• Loomis Laboratory Department of Physics, University of Illinois, Urbana, USA

  Michael Stone

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