Symmetry and Its Breaking in Quantum Field Theory

Takehisa Fujita
Nihon Univresity, Tokyo, Japan

Series: Physics Research and Technology
BISAC: SCI057000



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Field theory has special complexities which may not be common to other fields of research. Symmetry and its breaking are most exotic and sometimes almost mysterious to even those who can normally understand basic physics. In this textbook, there is a focus on presenting a simple and clear picture of the symmetry and its breaking in quantum field theory.

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1. Classical Field Theory of Fermions

2. Symmetry and Conservation Law

3. Quantization of Fields

4. Goldstone Theorem and Spontaneous Symmetry Breaking

5. Quantum Electrodynamics

6. Quantum Chromodynamics

7. Thirring Model

8. Lattice Field Theory

9. Quantum Gravity

A. Introduction to Field Theory

B. Non-relativistic Quantum Mechanics

C. Relativistic Quantum Mechanics of Bosons

D. Relativistic Quantum Mechanics of Fermions

E. Maxwell Equation and Gauge Transformation

F. Regularizations and Renormalizations

G. Path Integral Formulation

H. New Concept of Quantization

J. Photon Self-energy Contribution in QED


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