Lectures on Classical and Quantum Theory of Fields 2nd Edition Henryk Arodz 3319556193 9783319556192

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Product details:

• ISBN 10: 3319556193
• ISBN 13: 9783319556192
• Author:  Henryk Arodz

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:

1. Introduction

2. The Euler–Lagrange Equations and Noether’s Theorem

3. Scalar Fields

4. Vector Fields

5. Relativistic Spinor Fields

6. The Quantum Theory of Free Fields

7. Perturbative Expansion in the $$ \phi ^4_4$$ ϕ 4 4 Model

8. Renormalization

9. The Renormalization Group

10. Relativistic Invariance and the Spectral Decomposition of $$G^{(2)}$$ G ( 2 )

11. Path Integrals in QFT

12. The Perturbative Expansion for Non-Abelian Gauge Fields

13. The Simplest Supersymmetric Models

14. Anomalies

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