- https://www.youtube.com/watch?v=-_qNKbwM_eE Unsolved: Yang-Mills existence and mass gap by J Knudsen (2019). Gives 10 key points, but the truly hard ones are too quick. He knows the thing though.
A bit disappointing, too high level, with very few nuggests that are not Googleable withing 5 minutes.
Breakdown:
- 1 https://www.youtube.com/watch?v=j3fsPHnrgLg: too basic
- 2 https://www.youtube.com/watch?v=br6OxCLyqAI?t=569: mentions groups of Lie type in the context of classification of finite simple groups. Each group has a little diagram.
- 3 https://youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=728 the original example of a local symmetry was general relativity, and that in that context it can be clearly seen that the local symmetry is what causes "forces" to appear
- https://youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=933 local symmetry gives a conserved current. In the case of electromagnetism, this is electrical current. This was the only worthwhile thing he sad to 2021 Ciro. Summarized at: local symmetries of the Lagrangian imply conserved currents.
- 4 https://youtu.be/5ljKcWm7hoU?list=PL613A31A706529585&t=427 electromagnetism has both a global symmetry (special relativity) but also local symmetry, which leads to the conservation of charge current and forces.lecture 3 properly defines a local symmetry in terms of the context of the lagrangian density, and explains that the conservation of currents there is basically the statement of Noether's theorem in that context.
- Yang-Mills theory | 0, 374, 2
- Renormalization | 78, 511, 7
- Mathematical formulation of quantum field theory | 251, 1k, 18
- Quantum field theory | 329, 7k, 103
- Relativistic quantum mechanics | 99, 9k, 134
- Quantum mechanics | 170, 18k, 243
- Particle physics | 137, 28k, 458
- Physics | 276, 40k, 705
- Natural science | 0, 49k, 1k
- Science | 0, 53k, 1k
- Ciro Santilli's Homepage | 262, 182k, 3k
- Millennium Prize Problems | 244, 258, 1