Quantum Field Theory I: Basics in Mathematics and Physics

Part I.. Introduction

1. Prologue

2. Historical Introduction

3. Phenomenology of the Standard Model for Elementary Particles

4. The Challenge of Different Scales in Nature

Part II.. Basic Techniques in Mathematics

5. Analyticity

6. A Glance at Topology

7. Many-Particle Systems in Mathematics and Physics

8. Rigorous Finite-Dimensional Magic Formulas of Quantum Field Theory

9. Rigorous Finite-Dimensional Perturbation Theory

10. Fermions and the Calculus for Grassmann Variables

11. Infinite-Dimensional Hilbert Spaces

12. Distributions and Green’s Functions

13. Distributions and Physics

Part III.. Heuristic Magic Formulas of Quantum Field Theory

14. Basic Strategies in Quantum Field Theory

15. The Response Approach

16. The Operator Approach

17. Peculiarities of Gauge Theories

18. A Panorama of the Literature

DRM-restrictions

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Nyckelord: SCIENCE / Physics SCI055000