Concepts in Quantum Field Theory
β Scribed by V. Ilisie
- Publisher
- Springer International Publishing
- Year
- 2015
- Tongue
- English
- Leaves
- 193
- Series
- UNITEXT for Physics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book uses less strict yet still formal mathematical language to clarify a variety of concepts in Quantum Field Theory that remain somewhat βfuzzyβ in many books designed for undergraduates and fresh graduates. The aim is not to replace formal books on Quantum Field Theory, but rather to offer a helpful complementary tool for beginners in the field. Features include a reader-friendly introduction to tensor calculus and the concept of manifolds; a simple and robust treatment for dimensional regularization; a consistent explanation of the renormalization procedure, step by step and in a transparent manner at all orders, using the QED Lagrangian; and extensive treatment of infrared as well as ultraviolet divergences. The most general (Lorentz invariant) form of Noether's theorem is presented and applied to a few simple yet relevant examples in Quantum Field Theory. These and further interesting topics are addressed in a way that will be accessible for the target readership. Some familiarity with basic notions of Quantum Field Theory and the basics of Special Relativity is assumed.
β¦ Table of Contents
Front Matter....Pages i-xiii
Vectors, Tensors, Manifolds and Special Relativity....Pages 1-27
Lagrangians, Hamiltonians and Noetherβs Theorem....Pages 29-46
Relativistic Kinematics and Phase Space....Pages 47-55
Angular Distributions....Pages 57-67
Dirac Algebra....Pages 69-84
Dimensional Regularization. Ultraviolet and Infrared Divergences....Pages 85-93
QED Renormalization....Pages 95-111
One-Loop Two and Three-Point Functions....Pages 113-140
Massive Spin One and Renormalizable Gauges....Pages 141-155
Symmetries and Effective Vertices....Pages 157-161
Effective Field Theory....Pages 163-172
Optical Theorem....Pages 173-178
Back Matter....Pages 179-190
β¦ Subjects
Elementary Particles, Quantum Field Theory; Quantum Field Theories, String Theory
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