Marcus's quantum field theory notes and videos

Here are some notes and videos. You won't learn quantum field theory just from watching them, but they can accompany a course or a self-study program, if you get Schwartz's book, Zee, or one of the many other books I refer to in the videos. I want to thank Michael Haack for help.

Mathematica files:

• A few calculations in Zee: zip

Notes:

• Anomalies
• Functional (Path) integrals
• Renormalization group
• BRST
• Worldline formalism
• Infrared-finiteness
• Soft/collinear effective field theory
• QFT for mathematicians*

* Even if you're not a mathematician, it's a useful exercise to attempt to define things in a reasonably self-contained way.

Videos (under construction):

• 0. Intro
• 1. Path integral and quantum fields
• 2. Feynman diagrams without spin
• 3. Feynman diagrams with spin
• 4. Loops and renormalization
• 5. Symmetry breaking and phases
• 6. Non-Abelian gauge theory and anomalies
• 7. Electroweak and Higgs
• 8. Quantum chromodynamics (QCD)

Possibly useful mathematics:
M0. From PDEs to algebra
M1. Green's functions
M2. Differential forms and cohomology
M3. Geometry and ODEs
M4. Dynamical systems
M5. Riemann surfaces
M6. Kronecker's limit formulas

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