Informal QFT 1 - Classical Gauge Field Theory
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- Опубліковано 28 січ 2023
- Sort of hacked together video. Sorry for the sort of rambling, I didn't have a script.
For whatever reason the final minutes didn't audio record, so sorry for that too.
Some useful stuff:
Teaching electromagnetic field theory using differential forms
scholarsarchive.byu.edu/cgi/v...
The Hamilton-Jacobi Equation : an intuitive approach
hal.science/hal-02317455/file...
The boundary of a boundary principle in field theories and the issue of austerity of the laws of physics
link.springer.com/article/10.... - Наука та технологія
This is an incredible creation! The visuals are extremely well made and the color palette is beautiful as well. Thank you for your time and effort
Glad you enjoyed the colors
@@ARBB1 Hahaha.
I loved everything about this video! Thank you. Hope you continue the series!
Wonderful! Helped put a lot of pieces together, especially the discussion of level curves of actions as wavefronts in the Hamiltonian!
Thanks.
This was a better explanation than a bunch of popular UA-cam videos. You have talent as a teacher. Sad the last part on spin got muted
But why did you write that? Because you already know this stuff. The guy reproduces a lot, but doesn't explain much.
I recently wanted to learn about Hamiltonian and Lagrangian and this was an excellent simplification of a visualization for both. Till now, the best visualization I had to explain what is energy was whipped chocolate milk compare to just, chocolate milk. This is better.
holy CRAPPPPP these are crazy quality videos
Thank you for these!
Grato Pela Aula excelente conteúdo e ilustrações!!🔥🔥🔥🔥🔥
your visual representations are so elegant
Thanks
Great explanation 👌
Grande qualidade como sempre
Thank you, This was such a good video, and you also are e very good teacher!
Keep working bro, doing welp so far 😊❤
How do we know/prove in this case that the electromagnetic 4-potential is the unique, metric compatible, torsionless connection a.k.a. Levi-Civita? In general relativity, we start from the metric compatibility assumption, then we choose Christoffel symbols that are invariant for the exchange of their two lower indices (torsion free). These assumptions select out Levi-Civita for us. But I have never heard of a metric in the U(1) bundle, and I can't imagine one, so I don't even know how to start.
Also, why is the 4-potential a proper 4-vector, when Christoffel symbols don't transform as tensors?
Is it possible to visualise the curvature in the U(1) bundle somehow, like the embedding diagrams of GR? That would be quite helpful, too.
Love the video
Thanks a lot.
This was very good! I like the starting emphasis on principles and then linkage to differential forms!
Did the last few slides not record audio?
Oh no, there was an error in the editing software. Thanks for pointing that out.
7:06 what optical system has maxima action? Is least time the same as max action?
Nice video, a small inaccuracy: It's true that the functional derivative of the action is always zero for a physical trajectory, but the action is always a minimum or a saddle point, never a maximum (idea of proof is that you can always add fast oscillations to the trajectory in a way that can only increase the integral).
Edit: a bit further in now. Your way of visualizing a 2-form as a 'malleable eggcrate whose flux tubes have orientation' went a bit fast 😅. I have my own way of thinking about forms, but it's not easy (for me) to translate what an explicit reference to the eggrate analogy like 'the sheets end in a charge' means in realtime. This to say, i might be confused but I think you're mixing up the interpretation of the Maxwell laws, i.e. sheets ending in an electrical charge must surely mean Gauss' law, which follows from d (star) F=J, not from dF=0 as you claim in the video.
You're correct, I only learned that after making this video in a paper about it which I have forgotten the name of. Thanks
@ARBB Great video! What editing software did you use to make your slides? Very pretty!
I draw all the slides in Illustrator and Blender
@@ARBB1 Thanks!
What software do you use to make the slides? They are beautiful
In Adobe Illustrator
I really liked this video, but some critique: they say people will put up with bad video but not bad audio. It’s really echoey and you even left a burp in there.
Oh no, a burp 😮