= Lecture 1
https://www.youtube.com/watch?v=T58H6ofIOpE
Bibliography review:
* <Quantum Field Theory lecture notes by David Tong (2007)> is the course basis
* <quantum field theory in a nutshell by Anthony Zee (2010)> is a good quick and dirty book to start
Course outline given:
* classical field theory
* quantum scalar field. Covers <bosons>, and is simpler to get intuition about.
* quantum Dirac field. Covers <fermions>
* interacting fields
* <perturbation theory>
* <renormalization>
Non-relativistic <QFT> is a limit of relativistic QFT, and can be used to describe for example <condensed matter physics> systems at very low temperature. But it is still very hard to make accurate measurements even in those experiments.
Defines "relativistic" as: "the <Lagrangian> is symmetric under the <Poincaré group>".
Mentions that "QFT is hard" because (a finite list follows???):
\Q[There are no nontrivial finite-dimensional unitary <representation theory>[representations] of the <Poincaré group>.]
But I guess that if you fully understand what that means precisely, QTF won't be too hard for you!
Notably, this is stark contrast with rotation symmetry groups (<special orthogonal group>[SO(3)]) which appears in space rotations present in <non-relativistic quantum mechanics>.
https://www.youtube.com/watch?v=T58H6ofIOpE&t=5097 describes the <relativistic particle in a box thought experiment> with shrinking walls