# 场论笔记｜课程导入？教学大纲？わかります

……哈哈哈哈哈。量子力学般的笑声.gif

# Main References

1. Yong ZHANG, fourth version, online lec notes on quantum field theory
2. Nielsen & Chuang, Chapter 7, Quantum Computers: physical realization, Quantum computation and Quantum information, Cambridge

# The traditional approach of teaching QFT

1. Special Relativity, Four vector rotation, Lorentz transformation, Causality, mass-energy relation, High energy inelastic scattering
2. Classical Field Theory, Electrodynamics Lagragian and Hamiltonian, Action Principle, Equation of Motion, Symmetries and Conservation Laws, Noether's Theorem
3. Relativistic Quantum Mechanics, Natural Units, $\hbar = 1, c = 1$, Troubles in Relativistic Quantum Mechanics
4. Quantum Scalar Field Theory, Canonical Quantization, Fock Space Vacuum and Cosmological Constant Problem, micro-Causality, Correlation Function and Wick's Theorem, Interacting Quantum Field Theory, The Psendo-Yukawa interaction, Interaction Picture and Dyson's Formula, Scattering Matrix, Feynman Digrams and Feynman Rules（第一学期）
5. Quantum Spinor Field Theory, Lorentz Group and Its representation, Dirac Equation, Gamme Matrices, Canonical Quantization, The Yukawa Interaction, Feynman digrams and Feynman Rules, Cross Section and Decay Width
6. Quantum Electrodynamics, Canonical Quantuzation of Electrodynamics (Photon) , Quantum Electrodynamics, Feynman digrams and Feynman Cross Section, Regularization and Renormalization（正规化与重整化） （第二学期）

2012-2013年：第六学期开课，讲 Part 1-5，两学期

2014-2015年：第六学期开课，讲 Part 1-5，两学期内容压缩到一学期课时

2016-2017年改了，第七学期开课，讲 Part 1-4，No photon，No Quantum Electrodynamics

（Online lec notes, $V_1, V_2, V_3, V_4$ typed by excellent underguaduates）

2018年再改，第七学期开课，讲量子光学 + Part 5-6，也就是Quantum Optics & Quantum Electrodynamics

This semester, we do not talk about quantum scalar field theory from part 1 to part 4, but we talk about quantum optics

Photon - First concept of QM

What have we done since 2012?

Relation between quantum optics and quantum elecrodynamics

Understanding quantum optics is the basis of understanding quantum electrodynamics(QED), understanding QED is the basis of understanding the entire high energy physics

Classical Field Theory(CFT1) Quantum Theory Relativity
Quantum Optics Abelian CFT: Electrodynamics Quantum Mechanics No Relativity
Quantum Eletrodynamics Abelian CFT: Electrodynamics Quantum Mechanics Special Relativity
High Energy Physics Abelian and Non-abelian CFT Quantum Mechanics (Quantum Information) Special and General Relativity

Quantum optics offers a lof of valuable ideas and experiment for high energy physics, which never thinks about, because methematics of QFT is defficult and experiments of particle physics is TOO EXPENSIVE.

Theory Experiment Models
Quantum Optics Effective(Approximation) Low or Middle Energy Photon and Atom
Quantum Electrodynamics Fundamental Theory High Energy Photon and Electron

The boundary between quantum optics and quantum electrodynamics is becoming not that clear as before, mainly because the energy scale of experiments in morden quantum optics is becoming higher and higher.

# Teaching Plan of this Course

1. Course Warm up and Course Homework 【？？？？】, Quantum Optics: Photon and Atom
2. Classical Electrodynamics
3. Canonical Quantizaion
4. Dirac Equation
5. Quantum Electrodynamics
6. Quantum Optics

1. 来自张同学的补充：CFT 在高能理论和数学物理的人的眼里, 若未说明, 一般默认为共形场论的缩写，Conformal Field Theory

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