Methods of Quantization

1. Front Matter

   Pages I-XI

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2. Forms of Relativistic Dynamics

   • Bernard L.G. Bakker

   Pages 1-54

3. Light-Cone Quantization: Foundations and Applications

   • Thomas Heinzl

   Pages 55-142

4. Quantization of Constrained Systems

   • John R. Klauder

   Pages 143-182

5. Algebraic Methods of Renormalization

   • Klaus Sibold

   Pages 183-206

6. Functional Integrals for Quantum Theory

   • Ludwig Streit

   Pages 207-221

7. Back Matter

   Pages 223-224

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Most of our present understanding of the elementary building blocks of matter and the forces between them is based on the quantized version of the field theories which are locally symmetric under gauge transformations. The present set of lecture notes gives both a status report and a survey of recent advances for the most important quantization methods in the field theories for elementary particle physics. The first part of the book introduces light-cone quantization as an interesting alternative to the commonly used covariant perturbation theory and functional-integral methods. Next, a general formalism for quantizing systems with constraints, the projection-operator approach, is presented and structural aspects of the renormalization problem for gauge invariant field theories are discussed. Finally, the mathematics underlying the functional-integral quantization is reviewed. Suitable as a reference for researchers in the field, the book will prove particularly useful for lecturers and graduate students in search of additional reading beyond the standard texts on quantum field theory.

• Particle Physics
• algebraic renormalization
• light-cone quantization
• quantization
• quantization of constrained systems
• quantum field theory
• renormalization
• white-noise analysis

• Institut für Theoretische Physik, Universität Graz, Graz, Austria

  H. Latal, W. Schweiger

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