Author	Zeidler, Eberhard. author
Title	Quantum Field Theory II: Quantum Electrodynamics [electronic resource] : A Bridge between Mathematicians and Physicists / by Eberhard Zeidler
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
Connect to	http://dx.doi.org/10.1007/978-3-540-85377-0
Descript	online resource

This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to discover interesting interrelationships between quite diverse mathematical topics. For students of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical and physical aspects of the quantum theory of light

Prologue -- Mathematical Principles of Modern Natural Philosophy -- The Basic Strategy of Extracting Finite Information from Infinities โ Ariadneโs Thread in Renormalization Theory -- The Power of Combinatorics -- The Strategy of Equivalence Classes in Mathematics -- Basic Ideas in Classical Mechanics -- Geometrical Optics -- The Principle of Critical Action and the Harmonic Oscillator โ Ariadneโs Thread in Classical Mechanics -- Basic Ideas in Quantum Mechanics -- Quantization of the Harmonic Oscillator โ Ariadneโs Thread in Quantization -- Quantum Particles on the Real Line โ Ariadneโs Thread in Scattering Theory -- A Glance at General Scattering Theory -- Quantum Electrodynamics (QED) -- Creation and Annihilation Operators -- The Basic Equations in Quantum Electrodynamics -- The Free Quantum Field of Electrons, Positrons, and Photons -- The Interacting Quantum Field, and the Magic Dyson Series for the S-Matrix -- The Beauty of Feynman Diagrams in QED -- Applications to Physical Effects -- Renormalization -- The Continuum Limit -- Radiative Corrections of Lowest Order -- A Glance at Renormalization to all Orders of Perturbation Theory -- Perspectives

1. Mathematics
2. Functional analysis
3. Differential equations
4. partial
5. Geometry
6. Mathematical physics
7. Mathematics
8. Partial Differential Equations
9. Mathematical Methods in Physics
10. Mathematical and Computational Physics
11. Functional Analysis
12. Geometry