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Concepts in Quantum Field Theory

✍ Scribed by V. Ilisie


Publisher
Springer International Publishing
Year
2015
Tongue
English
Leaves
193
Series
UNITEXT for Physics
Edition
1
Category
Library

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✦ Synopsis


This book uses less strict yet still formal mathematical language to clarify a variety of concepts in Quantum Field Theory that remain somewhat β€œfuzzy” 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.

✦ Table of Contents


Front Matter....Pages i-xiii
Vectors, Tensors, Manifolds and Special Relativity....Pages 1-27
Lagrangians, Hamiltonians and Noether’s 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

✦ Subjects


Elementary Particles, Quantum Field Theory; Quantum Field Theories, String Theory


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