Lectures on Classical and Quantum Theory of Fields

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

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 360
• Series: Graduate Texts in Physics
• Edition: 2
• Category: Library

✦ Synopsis

This textbook 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. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

✦ Table of Contents

Front Matter....Pages i-xi
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 87-110
The Quantum Theory of Free Fields....Pages 111-150
Perturbative Expansion in the ( \phi ^4_4) Model....Pages 151-180
Renormalization....Pages 181-210
The Renormalization Group....Pages 211-224
Relativistic Invariance and the Spectral Decomposition of (G^{(2)}) ....Pages 225-251
Path Integrals in QFT....Pages 253-273
The Perturbative Expansion for Non-Abelian Gauge Fields....Pages 275-292
The Simplest Supersymmetric Models....Pages 293-322
Anomalies....Pages 323-344
Back Matter....Pages 345-353

✦ Subjects

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