Daniel Berwick Evans.
Outline: (Roughly)
(1)~Classical field theory (Euler-Lagrange etc.)
(2)~Dirac and Klein-Gordon equations. (Classical.)
(3)~Yang-Mills stuff. ($U(1)$ is Maxwell.)
(4)~Perturbative field theories, Feynman diagrams etc.
$(n)$~Get physicists to give talks.
Resources:
QFT and Strings for Mathematicians.
Zee, QFT in a Nutshell.
Peskin and Shroeder, QFT.
Banks, Modern QFT.
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