Office hours: I am always happy to speak with students in the class. I will be mostly at home this semester, so email to arrange a Zoom meeting.

Course webpage: http://physics.wm.edu/~erlich/722S21/

Course material will be posted on Blackboard.

Instructor - Josh Erlich

Small Hall, Room 332B

Office Phone: 757-221-3763

Email: erlich@physics.wm.edu

- The Born approximation and the Coulomb potential
- Radiative Corrections in QED
- Electron self energy
- Electron vertex function and g-2
- Bremsstrahlung and infrared divergences
- Lamb shift

- Renormalization and the Renormalization Group
- Physical interpretation of running couplings
- Effective field theory

- Symmetries
- Lie groups and Lie algebras
- Isospin, chiral symmetry and hadron phenomenology
- Spontaneous symmetry breaking, Goldstone's theorem
- Anomalous global symmetries

- Gauge Theories
- Functional integral quantization
- Ward-Takahashi Indentities
- Non-Abelian gauge theory (Yang-Mills theory)
- Gauge fixing and Fadeev-Popov ghosts
- Anomalous symmetries
- Quantum Chromodynamics: Asymptotic freedom and confinement
- Electroweak symmetry breaking: the Higgs mechanism
- Standard Model of Particle Physics (introduction)

- Problem sets (70%)
- Take home final exam (30%)

** Text:**
There are quite a few quantum field theory textbooks that emphasize different
aspects of the subject. This course will be loosely based on
M. Peskin and D. Schroeder,

__Problem sets__

Homework will be assigned roughly weekly on Thursdays, and due the following Thursday. Problem sets will be available on Blackboard.

__Lecture Notes__

Lecture Notes 1 - Introduction, QFT->QM->CM, Coulomb Potential

Lecture Notes 2 - Renormalization

Lecture Notes 3 - Self energy

Lecture Notes 4 - Scalar self energy calculation

Lecture Notes 5 - Fermion self energy

Lecture Notes 6 - Photon self energy, charge renormalization

Lecture Notes 7 - Photon self energy calculation, dimensional regularization

Lecture Notes 8 - Vacuum polarization, Lamb shift, Landau pole

Lecture Notes 9 - Electron vertex function

Lecture Notes 10 - Electron vertex function, part 2

Lecture Notes 11 - Dirac form factor, Infrared divergences

Lecture Notes 12 - Bremsstrahlung, cancellation of IR divergences

Lecture Notes 13 - Minimal subtraction, regulator fields

Lecture Notes 14 - Renormalizability

Lecture Notes 15 - Functional integral quantization

Lecture Notes 16 - Functional integral quantization of fermions

Lecture Notes 17 - Functional integral quantization of the electromagnetic field

Lecture Notes 18 - Lie groups and Lie algebras

Lecture Notes 19 - Non-Abelian gauge theory

Lecture Notes 20 - Quantization of Non-Abelian gauge theory, Fadeev-Popov ghosts

Lecture Notes 21 - Fermion masses and Higgs Yukawa interactions | Spontaneous symmetry breaking and Goldstone's Theorem

Lecture Notes 22 - Higgs mechanism, quantization of spontaneously broken gauge theories

Lecture Notes 23 - The Standard Model

Lecture Notes 24 - The Renormalization Group

Additional material we didn't cover in class:

Lecture Notes 25 - Symmetries and the functional integral

Lecture Notes 26 - Anomalies

__Problem sets__

Problem Set 1, due Thursday, February 11.

Problem Set 2, due Thursday, February 18.

Problem Set 3, due Thursday, February 25.

Problem Set 4, due Thursday, March 4. Does not need to be turned in.

Problem Set 5, due Thursday, March 11.

Problem Set 6, due Thursday, March 25.

Problem Set 7, due Thursday, April 1.

Problem Set 8, due Thursday, April 15.

Problem Set 9, due Thursday, April 29.

Problem Set 10, due Thursday, May 6.