Lectures on Classical and Quantum Theory of Fields

✍ Scribed by Henryk Arodź, Leszek Hadasz (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 362
• Edition: 1
• Category: Library

✦ Synopsis

This textbook on classical and quantum theory of fields addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. The textbook is based on lectures delivered to students of theoretical physics at Jagiellonian University. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

✦ Table of Contents

Front Matter....Pages i-ix
Introduction....Pages 1-18
The Euler–Lagrange Equations and Noether’s Theorem....Pages 19-32
Scalar Fields....Pages 33-62
Vector Fields....Pages 63-85
Relativistic Spinor Fields....Pages 87-108
The Quantum Theory of Free Fields....Pages 109-149
Perturbative Expansion in the ϕ 4 4 Model....Pages 151-180
Renormalization....Pages 181-210
Renormalization Group....Pages 211-225
Relativistic Invariance and the Spectral Decomposition of G (2) ....Pages 227-253
Paths Integrals in QFT....Pages 255-275
The Perturbative Expansion for Non-Abelian Gauge Fields....Pages 277-294
The Simplest Supersymmetric Models....Pages 295-320
Anomalies....Pages 321-342
Back Matter....Pages 343-351

✦ Subjects

Elementary Particles, Quantum Field Theory;Quantum Physics;Field Theory and Polynomials