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This book provides a self-contained pedagogical and constructive presentation of quantum field theory. It contains a comprehensive introduction to the fundamental topics of quantum field theory starting from free fields and their quantization, renormalizable interactions, critical phenomena, the standard model of elementary particle physics, lattice field theory, the functional renormalization group equation, non-commutative field theory, topological field configurations, exact solutions of quantum field theory, supersymmetry and the AdS/CFT correspondence. Written for advanced students, the work provides complete material for a two or three semester course and includes numerous exercises, some with detailed solutions. Readers of this text will be well prepared to follow the theoretical developments in the field and undertake research projects as part of an MSc or PhD programme.
Key Features:
- Reorganized, updated and extended new edition.
- Four new chapters.
- Additional exercises.
Prologue
Acknowledgements
Author biography
1 Relativistic quantum mechanics
2 Initiation to particle physics
3 Canonical quantization of free fields
4 The phi-four theory
5 The electromagnetic field and Yang–Mills gauge interactions
6 Quantum electrodynamics
7 Path integral quantization of scalar fields
8 Path integral quantization of Dirac and vector fields
9 Standard model
10 Introduction to lattice field theory
11 The Callan–Symanzik renormalization group equation
Appendix A: Problems
Appendix B: Classical mechanics
Appendix C: Classical electrodynamics