Course curriculum

1
Extra completely optional references

Discussion on one point function of A_\mu after Friday Q and A

operator gauge symmetry of QED

Representations of the Lorentz group

Tutorial to derive Lie algebra of the Lorentz group

Tutorial solution for Lie algebra of the Lorentz group

Is the particle created by b or c really spin 1/2? (tutorial)

spin 1/2 tutorial solution

spin statistics theorem by Pauli


2
Welcome to the course!

Course requirement

Motivation

Outline and convention

Learning objectives

Acknowledgement

Lecture Notes


3
Dirac's equation and solutions; Weyl and Majorana spinors

Review quiz for the Dirac equation

The Dirac equation

Hamiltonian of the Dirac theory

Physics Joke: a fishing story

Review quiz for covariantness of the Dirac equation

The covariantness of the Dirac equation

Review quiz for Dirac field has spin half

The Dirac field has spin half

After lesson quiz: Notice this quiz is longer than usual.

We recommend to charge onwards for two more lessons. Otherwise make sure to review the last quiz before starting next lessons.

Weyl spinor

Completely optional: Weyl spinor in condensed matter physics

Majorana spinor

Completely optional: Majorana spinor in condensed matter physics

Tutorial one: Dirac, Majorana and Weyl spinors

Tutorial one solution

Completely optional: a proof that helicity (massless) is Lorentz invariant.

Completely optional: reference for two component spinor

Quiz before solutions of the Dirac equations

Solutions of the Dirac equations

Joke about chinese characters


4
Dirac's Lagrangian

Dirac's Lagrangian

After lesson quiz for Dirac's Lagrangian

Homework one

Questions and comments (Week 1) ?


5
Symmetries of Dirac's Lagrangian

The Weyl Lagrangian

The definition of parity

Story: the discovery of parity violation in nature (youtube video).

Activity: the effect of a mirror on righthanded spinor

Quiz for activity

Spinor bilinears

Quiz before global and gauge symmetry

global symmetry and gauge the global symmetry


6
Quantization of the Dirac theory

Review quiz before quantization of Dirac theory

Quantization of the Dirac theory

quiz before states

States

quiz before antiparticle and Heisenbert picture

antiparticle and Heisenberg picture

Causality

Tutorial two

Tutorial two solution

Homework Two

Questions and Comments (Week 2)?


7
Interacting with fermions

Updated lecture notes (Nika (Thanks!) found an error around equation 214 and I found some in the later chapters)

Interview questions for first two weeks

long quiz before review of the scalar case

An overview and then a review of the scalar case

A story from Gang

Fermionic LSZ formula

Before quiz on wick theorem

Dyson formula and Wick theorem


8
Yukawa theory and Feynman rules

Before quiz for Yukawa theory

Scattering amplitudes and Feynman rules for Yukawa theory

In class exercise

Scattering amplitudes and Feynman rules for Yukawa theory, continued

Tutorial three prep: please read 30 minutes before tutorial starts.

Tutorial three: the Feynman Rules

Tutorial three solution

Summary: Yukawa Feynman rules; minus signs

Questions and Comments (Week 3)?


9
Quantizing Maxwell theory

before quiz for Maxwell theory

Classical Maxwell theory

Quantization of Maxwell theory


10
Quantum Electrodynamics at tree level

Two scattering processes for QED

30 mins before tutorial four

Tutorial Four

Tutorial Four Solution

List of Feynman Rules is always handy. Yes you can use it for interview too.

The Rubric for Feynman diagrams and matrix element

The Project (Debriefing)

The Project (The excecution)

The Project (Teams and submit here)

The complete interview questions (note the third/last homework is NOT interviewed)

Homework Three (Last Homework)

Two little excercises for homework three: I suggest you do it when you start the homework

The companion video for homework three: I suggest you watch it when you start your homework.

Questions and Comments (Week 4)?


11
Renormalization of QED

Interview Schedule

Superficial degree of divergence

After quiz for superficial degree of divergence

Renormalization of QED: the electron self energy

Tutorial Five

Tutorial five solution

Questions and Comments (Week 5)?
